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If m angle5=4x+15 and m angle4=6x-5 , find m angle5 , if m angle5=m angle4

If m angle5=4x+15 and m angle4=6x-5 , find m angle5 , if m angle5=m angle4-example-1

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Answer:

Explanation:

If angle 5 = 4x + 15, and angle 4 = 6x - 5, and angle 5 = angle 4, then:

4x + 15 = 6x - 5 and

20 = 2x so

x = 10. Now sub this back in for x in angle 5's expression:

angle 5 = 4(10) + 15 ---> 40 + 15 ---> angle 5 = angle 4 = 55 degrees

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