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user100 [1]
4 years ago
6

In the diagram, m∠8=4x°, m∠7=30°, and m∠9=(6x−20)°. Find the value of x. x= ???

Mathematics
1 answer:
svetoff [14.1K]4 years ago
7 0

Answer:

x=25

Step-by-step explanation:

we know that

The <u><em>triangle external angle theorem</em></u> states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles

In this problem

m∠9=m∠7+m∠8

substitute the given values

(6x-20)\°=30\°+4x\°

solve for x

6x-4x=30+20\\2x=50\\x=25

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