Question

the person who gives all the answers right they will be marked as brainliest

Answer 1

Answer:

1. X=50°

2. b=63°, a=c=117°

3. larger angle is equal to 92° and the smaller angle is equal to 64°

Answer 2

Answer:

1)x = 50⁰

2)b= 63⁰, a = c = 117⁰

3)smaller angle = 44⁰

larger angle = 116⁰

Step-by-step explanation:

1) 50⁰+30⁰+2x = 180⁰(linear pair)

80⁰ + 2x = 180⁰

2x = 180⁰-80⁰

x = 100⁰/2

x = 50⁰

2)b = 63⁰(vertically opposite angles are equal)

now b+a = 180⁰(linear pair)

a+ 63⁰ = 180⁰

a = 180⁰- 63⁰

a = 117⁰

and c = a (Vertically opposite angles)

c = 117⁰

3) Let the smaller angle be x

then larger angle = 28⁰ + 2x

and 2x + 28⁰ + x = 160⁰

3x + 28⁰ = 160⁰

3x = 160⁰ - 28⁰

x = 132/3

x = 44

now the larger angle = 2x + 28⁰

= 88⁰ + 28⁰

= 116⁰