Question

The two angles of a triangle are complementary. Find the third angle of the triangle.​

Answer 1

Sum of angle of triangle = 180 °

If the sum of 2 angle of triangle are Complementary.

Then we will find the 3rd angle =

Complementary angle = 90°

So 2 angles = Complementary + Complementary

Now , 90 + 90 = 180°

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Answer 2

The Third Angle of a Triangle is 90°

Explanation:

Given:

1. The two angles of a triangle are complementary.

To find:

The third angle of the triangle.​

Formula:

Sum of Angles of a Triangle = 180°

Complementary angles: The sum of the two angles are 90°

Solution:

==> ∠A+∠B+∠C = 180°

==> The two angles are 90°

==> ∠A+∠B are Complementary

==> ∠A+∠B = 90°

==> 90° +∠C = 180°

==> ∠C = 180° - 90°

==> ∠C = 90°

The Third Angle of a Triangle is 90°