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1 year ago

15. Find M /_ B.

Mathematics

2 answers:

Dovator [93]1 year ago

8 0

Answer:

B = 79°

Step-by-step explanation:

The sum of interior angles of a quadrilateral is 360°.

(14x -11)° +(8x +7)° +(5x +18)° +(10x +13)° = 360°

37x +27 = 360 . . . . . . divide by °, collect terms

37x = 333 . . . . . . . . subtract 27

x = 9 . . . . . . . . . . . divide by 37

The measure of angle B is ...

B = (8x +7)° = ((8)(9) +7)°

B = 79°

_____

Additional comment

The other angles are ...

A = 115°, C = 63°, D = 103°

aliina [53]1 year ago

7 0

Answer:

m∠B=79°

Step-by-step explanation:

∠A +∠B+∠C+∠D=360°

14x-11+8x+7+5x+18+10x+13=360°

37x+27=360°

37x=333

x=9

so,

m∠B=8x+9

m∠B=8×9+7

m∠B=79°

Hope it helps!

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