I'm sorry, but the image you uploaded is blurry and the details are not clear enough to read or interpret the specific angles and problems on the worksheet. To assist you properly, I need a clearer image or a description of the problems.
However, I can explain
The Exterior Angle Theorem which is likely the topic of this worksheet:
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🔷 Exterior Angle Theorem:
> The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent (remote) interior angles.
In other words:
>
Exterior Angle = Sum of Two Remote Interior Angles
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Let’s suppose one of the problems looks like this (a typical example):
```
A
/ \
/ \
/ \
B-------C
/
/
D
```
With angle at C extended to form an exterior angle at point D. If ∠A = 50° and ∠B = 60°, then the exterior angle at D would be:
> ∠D = ∠A + ∠B = 50° + 60° =
110°
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If you can provide a clearer version of the image or describe the specific problems (e.g., "Find the exterior angle when the two remote interior angles are 40° and 50°"), I’d be happy to help solve them step by step!
Parent Tip: Review the logic above to help your child master the concept of exterior angle theorem worksheet answers.