Question

In Fig., a || b. If angle 1=(x+15)degree and angle 8=(2x+15)degree , then find the measure of all the angles.

Answer 1

Answer:

1. 75
2. 115
3. 75
4. 115
5. 75
6. 115
7. 75
8. 115

Step-by-step explanation:

1. angle 1 and 3 are vertically opposite hence are equal; <1=<3=(x+15)degree
2. angle 3 and angle 8 are co-interior and supplementary; (x+15) + (2x+15)=180...........3x + 30=180.......3x=150......x=50
3. Substitute the value of x ..........(x+15).......50+15=75 and (2x+15).......100+15=115
4. Use application of angle properties to find the other angles