What is the measure of angle 7?
The measure of angle 1 is (3x + 10)° and the measure of
angle 4 is (4x - 15)
6 8
24
5 7
1
3

Step-by-step explanation:

So m<1 = m<4 because of vertical angle theorem. That means that you can say:

(3x+10) = (4x -15)  now solve

3x + 10 = 4x - 15

10 = x - 15

25 = x

now put it back into the equation

m<1 = (3x + 10) = 3*25 + 10 = 85

m<4 = (4x - 15) = 4*25 - 15 = 85

either way it's both 85º.

<3 is the supplementary angle of <1 (adjacent angles)

now < 3 + < 1 = 180º

so < 3 + 85º = 180º

< 3 = 95º

m<7 is also equal to m<3. This is because of corresponding angles.

so m<7 is also = 95º

correct me if i'm wrong and ask more questions!

answer: give more info

step-by-step explanation: