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Two angles of a triangle have equal measures, but the third angle's measure is 82° . Find the measure of each angle of the triangle.

User Jjrr
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2 Answers

7 votes

Answer:

Angle 1 = 49°

Angle 2 = 49°

Angle 3 = 82°

Step-by-step explanation:

The angles of a triangle add up to 180°, so we would need to subtract 82 from 180.

180 - 82 = 98

We then would have to divide 98 by 2, since the first two angles have equal measurements. This gives us the angle measurements for the first two angles.

98/2 = 49

User Cesar
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3.8k points
12 votes

Answer:

Step-by-step explanation:

Two angles each =x because both are equal.

All triangles have angles adding to 180 degrees

The angle that isn't = x is 82 degrees.

x + x + 82 = 180 Subtract 82 from both sides

2x + 82 - 82 = 180 - 82 Combine

2x = 98 Divide by 2

2x/2 = 98/2

x = 49

angle 1 = 49

angle 2 = 49

angle 3 = 82

User Petr Rastegaev
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4.2k points