Properties of Angles

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Explore the properties of angles and triangles through two interactive games.
In Educaplay, identify types of angles and their relationships.
In Kahoot, apply geometric formulas and reasoning to solve problems about triangles.
Learn, play, and test your geometric thinking!

Created by

Rossy Julieth Vega Martinez

Colombia

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Properties of AnglesOnline version Explore the properties of angles and triangles through two interactive games. In Educaplay, identify types of angles and their relationships. In Kahoot, apply geometric formulas and reasoning to solve problems about triangles. Learn, play, and test your geometric thinking! by Rossy Julieth Vega Martinez 1 An angle that measures exactly 90° is called a Acute angle b Right angle c Obtuse angle d Reflex angle 2 An angle that measures more than 90° but less than 180° is a Obtuse angle b Reflex angle c Straight angle d Acute angle 3 Two angles that add up to 90° are called a Supplementary b Complementary c Adjacent d Opposite 4 When two lines intersect and form equal angles, each measures a 45° b 60° c 90° d It depends on the lines 5 In triangle ABC, the exterior angle at vertex C measures 130°, and the interior angle at vertex A measures 40°. ¿What is the measure of angle B? a A) 40° b B) 50° c C) 90° d D) 130° 6 In triangle ABC, AB = AC. If ∠𝐵= 2𝑥+10° ∠B =2x+10° and ∠𝐶=𝑥+30° ∠C = x+30°, what is the measure of angle B? a 40° b 50° c 60° d 80° Explicación 1 A right angle measures exactly 90° and represents a perfect corner, like the angle in a square. 2 An obtuse angle is larger than a right angle but smaller than a straight one, meaning its measure is between 90° and 180°. 3 Complementary angles are two angles whose measures add up to 90°. They complete a right angle when combined. 4 The size of the angles depends on how the lines intersect. If they form a right angle, each is 90°, but they could form other equal pairs too. 5 The exterior angle (130°) equals the sum of the two opposite interior angles. So, 130° = 40° + B → B = 90°. Then, the remaining angle C = 180° − (40° + 90°) = 50°. 6 Because AB = AC the base angles are equal: 2𝑥+10 = 𝑥+30 ⇒ 𝑥=20 x+10 = x+30 ⇒ x=20. Then 𝐵=2(20)+10 = 50° B=2(20)+10=50°. Finally 𝐴=180° −(50° + 50) °= 80° A=180°−(50°+50°)=80°.

Properties of AnglesOnline version

Explore the properties of angles and triangles through two interactive games. In Educaplay, identify types of angles and their relationships. In Kahoot, apply geometric formulas and reasoning to solve problems about triangles. Learn, play, and test your geometric thinking!

by Rossy Julieth Vega Martinez

An angle that measures exactly 90° is called

Acute angle

Right angle

Obtuse angle

Reflex angle

An angle that measures more than 90° but less than 180° is

Obtuse angle

Reflex angle

Straight angle

Acute angle

Two angles that add up to 90° are called

Supplementary

Complementary

Adjacent

Opposite

When two lines intersect and form equal angles, each measures

45°

60°

90°

It depends on the lines

In triangle ABC, the exterior angle at vertex C measures 130°, and the interior angle at vertex A measures 40°. ¿What is the measure of angle B?

A) 40°

B) 50°

C) 90°

D) 130°

In triangle ABC, AB = AC. If ∠𝐵= 2𝑥+10° ∠B =2x+10° and ∠𝐶=𝑥+30° ∠C = x+30°, what is the measure of angle B?

40°

50°

60°

80°

Explicación

A right angle measures exactly 90° and represents a perfect corner, like the angle in a square.

An obtuse angle is larger than a right angle but smaller than a straight one, meaning its measure is between 90° and 180°.

Complementary angles are two angles whose measures add up to 90°. They complete a right angle when combined.

The size of the angles depends on how the lines intersect. If they form a right angle, each is 90°, but they could form other equal pairs too.

The exterior angle (130°) equals the sum of the two opposite interior angles. So, 130° = 40° + B → B = 90°. Then, the remaining angle C = 180° − (40° + 90°) = 50°.

Because AB = AC the base angles are equal: 2𝑥+10 = 𝑥+30 ⇒ 𝑥=20 x+10 = x+30 ⇒ x=20. Then 𝐵=2(20)+10 = 50° B=2(20)+10=50°. Finally 𝐴=180° −(50° + 50) °= 80° A=180°−(50°+50°)=80°.

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Properties of Angles

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About this activity

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Download the paper version to play

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Properties of AnglesOnline version

by Rossy Julieth Vega Martinez

An angle that measures exactly 90° is called

An angle that measures more than 90° but less than 180° is

Two angles that add up to 90° are called

When two lines intersect and form equal angles, each measures

In triangle ABC, the exterior angle at vertex C measures 130°, and the interior angle at vertex A measures 40°. ¿What is the measure of angle B?

In triangle ABC, AB = AC. If ∠𝐵= 2𝑥+10° ∠B =2x+10° and ∠𝐶=𝑥+30° ∠C = x+30°, what is the measure of angle B?

Explicación

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