223k views
0 votes
The question is in the picture below....

The question is in the picture below....-example-1

1 Answer

6 votes

Answer:

The measure of the indicated exterior angle is 110°

Explanation:

Let us revise the rule of the exterior angle

In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.

We will use this rule to solve the question

∵ The ladder, the house, and the ground formed a right triangle

The ladder's angle with the ground facing away from the house is

an exterior angle of the triangle

∵ The angles of measures 90° and 20° are its opposite interior angles

→ By using the rule above

The measure of the exterior angle = 90° + 20°

∴ The measure of the exterior angle = 110°

∴ The measure of the ladder's angle with the ground facing away

from the house is 110°

The measure of the indicated exterior angle is 110°

User Ivan Lewis
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories