Question

Pls help ;-;
Solve for m∠B and m∠C in the parallelogram.

m∠B = ?°
m∠C = ?°

Answer 1

m∠B = 121

m∠C = 59

Explanation:

Angle B:

`(10x - 19) = (7x+23)\\10x+(- 19+19) = 7x+(23+19)\\10x=7x+42\\(10x-7x) = (7x-7x)+42\\3x = 42\\3x/3 = 42/3\\x = 14`

10(14)-19 = 140-19 = 121

Angle C:

(121)2 = 242

360-242 = 118

118/2 = 59

Answer 2

• 121° and 59°

Explanation:

Opposite angles of the parallelogram are congruent:

• m∠B = m∠D

• 10x - 19 = 7x + 23
• 10x - 7x = 23 + 19
• 3x = 42
• x = 14

Find the angle B:

• m∠B = 10*14 - 19 = 121°

Adjacent angles of the parallelogram are supplementary:

• m∠B + m∠C = 180°
• 121° + m∠C = 180°
• m∠C = 180° - 121°
• m∠C = 59°