asked 8.5k views
18 votes
In ΔRST, ∠R = 85° and ∠S = 52°. Find ∠T.

asked
User Oryol
by
7.3k points

1 Answer

9 votes

Answer:

43°

Explanation:

A triangle has a total angle of 180° and we can use it to find the answer.

The attachment is a visualization of the triangle.

In order to find angle T, we can use the triangle formula to find t.


{180}^(o) = r + s + t

By substituting r and s, we will get


{180}^(o) = {85}^(o) + {52}^(o) + t

Hence, we can find T, which is


t = {180}^(o) - {85}^(o) - {52}^(o) = {43}^(o)

In ΔRST, ∠R = 85° and ∠S = 52°. Find ∠T.-example-1
answered
User Hiero
by
8.5k points
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