Two angle measures of a triangle are given. What is the third angle measure?

1. 57°, 68°, ___
2. 90°, 40°, ___
3. 29°, 71°, ___

S u m o f an g l es in t r ian g l e i s 18 0 ∘ 5 7 ∘ , 6 8 ∘ , x 57 + 68 + x = 180 125 + x = 180 x = 5 5 ∘ 9 0 ∘ , 4 0 ∘ , x 90 + 40 + x = 180 130 + x = 180 x = 5 0 ∘ 2 9 ∘ , 7 1 ∘ , x 29 + 71 + x = 180 100 + x = 180 x = 8 0 ∘

Answered by luana | 2024-06-10

To find the third angle of a triangle when two angles are given, use the formula Third angle = 18 0 ∘ − ( First angle + Second angle ) . For the angles 57° and 68°, the third angle is 55°; for 90° and 40°, it is 50°; and for 29° and 71°, it is 80°.
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Answered by luana | 2024-11-22