SOLUTION: Given: m∠RST = (2x − 10)° m∠TSV = (x + 7)° m∠RSV = (4(x − 7))° Find: x and m∠RSV in degree

Question 1191249: Given:
m∠RST = (2x − 10)°
m∠TSV = (x + 7)°
m∠RSV = (4(x − 7))°
Find: x and m∠RSV in degree
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Given:
m∠RST = (2x − 10)°
m∠TSV = (x + 7)°
m∠RSV = (4(x − 7))°
Find: x and m∠RSV in degree
------------------------
How are the angles related?
What shape is RSTV?
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.

It is obvious that ∠RST + ∠TSV = ∠RSV. Hence, (2x-10) + (x+7) = 4(x-7). Simplify and find x 2x - 10 + x + 7 = 4x - 28, 3x - 3 = 4x - 28, 28 - 3 = 4x - 3x, 25 = x. Thus x= 25 degrees and m∠RSV = 4(25 − 7) = 72 degrees. ANSWER

Solved.

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