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3.3.5 Quiz: Angle Relationships in Triangles
Question 2 of 5
Two angles in a triangle have measures of 62° and 15°.
What is the measure of the third angle?
○ A. 103°

Sagot :

GinnyAnswer
To find the measure of the third angle in a triangle where two angles are given as 62° and 15°, follow these steps:

1. Recall the sum of angles in a triangle:
The sum of the interior angles in any triangle is always 180°.

2. Add the given angles together:
Add the measures of the two known angles:
[tex]\[ 62° + 15° = 77° \][/tex]

3. Subtract the sum of the known angles from the total sum:
Subtract the sum of these two angles from 180° to find the measure of the third angle:
[tex]\[ 180° - 77° = 103° \][/tex]

Therefore, the measure of the third angle in the triangle is:
○ A. 103°
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