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Part A: What is the measure of angle x? Show your work. Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.

Part A What is the measure of angle x Show your work Part B Explain how you found the measure of angle x by identifying the angle relationships that you used al class=

Respuesta :

The missing part of ∠R = 70°. Hence, you can find the missing ∠R in the triangle (70°). 180°-110°=70°

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

I hope this helps!

-E :)
fichoh

Using the triangle theorem, the angle (64 + x)° and 110° are alternate angles, therefore the angle marked, x is 46°

From the triangle theorem :

  • Alternate angles are equals :

(64 + x)° = 110°

We can solve for x thus ;

x + 64 = 110

x + 64 - 64 = 110 - 64

x = 46°

Hence, the value of x in the triangle is 46°

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