teehartinegr teehartinegr

26-01-2020
Mathematics

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15. Find m∠DEC (the picture is not drawn to scale).

15 Find mDEC the picture is not drawn to scale class=

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profarouk profarouk

26-01-2020

Answer:

m∠DEC = 123°

Step-by-step explanation:

First we need to solve for x the equation: x = (x - 45) + (x-12)

x = (x - 45) + (x-12) ⇔ x = 2x -57 ⇔ 0 = x - 57 ⇔ x = 57

since m∠DEC = 180 - x then m∠DEC = 180 - 57 = 123

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