Question

Can anyone please help with these 2 questions. If you can, please show step-by-step.

Answer 1

Explanation:

Answer 2

1. x = 21

2. m∡ABC = 51°

Explanation:

First problem, solve for x

the sum of inside angles of a triangle is 180

also the supplementary angle for L = 180 - 100 is 80°

now you can add all angles

80 + 2x - 11 + 2x + 27 = 180

4x + 96 = 180

4x = 84

x = 21

Second problem, solve for m∡ABC

the sum of inside angles of a triangle is 180

also the supplementary angle for C = 180 - 148 is 32°

now you can add all angles

31 + 2x - 15 + x - 5 = 180

3x + 12 = 180

3x = 168

x= 56,

now solve for m∡ABC = (x - 5)° = (56 - 5)° = 51°