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The question is in the picture below....

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

1 Answer

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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
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