Given the diagram to the right, determine m

The measure of Angle S is 75 (degrees).

Step-by-step explanation:

Key skills needed to solve this are: Sums of a triangle, one variable equation, operations

1) All the angles in a triangle add up to equal 180 degrees.

2) We can use this to say that Angle S + Angle R + Angle T is 180 degrees.

3) Subsitute in the expression for each angle: 7x+40+8x+25+5x+15 = 180

4) Combine like terms

7x + 8x + 5x is 20x & 40 + 25 + 15 is 80

This means that 20x + 80 = 180

5) Move 80 to the right side: 20x = 100

6) Divide by 20 andbget x equal to 5

7) To find Angle S, you need to plug in 5 into the expression.

7x + 40 = 7(5) + 40 = 35 + 40 = 75 degrees

The measure of Angle S is 75

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18.8cm hope i at all

step-by-step explanation: