Question

Find the measure of angle S and angle TRS pls help

Answer 1

60°

Explanation:

since angle on straight line is 180° you take the sum of the exterior angle of R and its interior angle then divide both sides by the coefficient of y to find y then things get easier from there

Answer 2

Explanation:

Plan

7y and 5y are made on the same straight line. Therefore they are supplementary and add to 180 degrees. <s has to be found by finding 3x and 5y first. Find <s by solving 3y + 5y + x = 180 degrees.

Solution

7y + 5y = 180 degrees Combine the left

12y = 180 degrees Divide by 12

12y/12 = 180/12

y = 15

3y + 5y + x = 180 Combine the left side

8y + x = 180 Substitute 15 for y

8*15 + x = 180 Combine

120 + x = 180 Subtract 120 from both sides

120 -120 +x =180 - 120 Combine

x = 60

Answer

s = 60 degrees

<TRS = 5y = 75