Question bank: Triangles: Sum of Angles

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Question 1:

Medium

During a class about triangles, teacher Clarice proposed a challenge to the students: a right triangle where its largest angle is twice the smallest.

Triangles: Sum of Angles

Question 2:

Medium

In a park, three friends decide to venture in different directions. The first friend walks in a straight line for 50 meters, the second for 30 meters, and the third for 20 meters. After walking these distances, they end up forming a triangle. However, something catches their attention: the angles between the paths taken by the friends are different. Suppose the angle between the path of the first and second friend is 100° and the angle between the path of the second and third friend is 60°.

Triangles: Sum of Angles

Question 3:

Easy

Triangles: Sum of Angles

Question 4:

Medium

In a geometry class, the teacher drew an isosceles triangle ABC, with AB = AC. He drew a line DE parallel to BC, intersecting AB at D and AC at E. If the angle BAC is 48º and the angle ADE is 62º, what is the measure of angle ABC in the triangle?

Triangles: Sum of Angles

Question 5:

Medium

João was thinking about the geometry of triangles and wondered how to prove that the sum of the interior angles of a triangle is always equal to 180º. Based on this, answer:

Triangles: Sum of Angles

IARA TIP

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