Question

EDULASTIC
full explanation please

Answer 1

Supplementary angles have sum 180°

• 2x-24+5x-27=180
• 7x-51=180
• 7x=231
• x=33

<B

• 5(33)-27
• 138°

Answer 2

• 138°

Explanation:

Sum of supplementary angles is 180°

• m∠A + m∠B = 180°

Find the value of x

• 2x - 24° + 5x - 27° = 180°
• 7x - 51° = 180°
• 7x = 180° + 51°
• 7x = 231°
• x = 231°/7
• x = 33°

Find the measure of ∠B

• m∠B = 5*33° - 27° = 138°