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15. Find M /_ B.

C
(5x + 18)

B
(8x + 7)

D
(10x + 13)

A
(14x - 11)

15. Find M /_ B. C (5x + 18) B (8x + 7) D (10x + 13) A (14x - 11)-example-1
User Knut Holm
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1 Answer

7 votes

Answer:

B = 79°

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°

User RohitK
by
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