Find the measure of the angle and explain step by step

angle 4 is the same as angle 8

 angle 7 & angle 8 has to equal 180 degree

 so angle 7 and angle 4 also have to equal 180

angle 4 is 3 times the size of 7

lets call 7  (x)

so 4(x) = 180

180/4  =45

x=45

angle 7 is 45 degrees

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point