3 years ago

Find the measure of x(HEELP) A.180 B.109 C.135 D.116 C.120

Mathematics

2 answers:

Thepotemich [5.8K]3 years ago

8 0

Answer:

x = 109

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite angles in the triangle

x = 45+64

x =109

Travka [436]3 years ago

4 0

Answer: B. 109 degrees

Step-by-step explanation:

The two remote interior angles add up to the exterior angle which means if you add the two measures you will get x.

64 + 45 = 109

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Step-by-step explanation:

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weeeeeb [17]

Let us draw a picture to make the things more clear.

Attached is the image.

We have been given that

$\angle acd = 60 ^{\circ}$

Therefore, we have

$\angle dcb =90- 60= 30 ^{\circ}$

Now, in triangle bcd, we have

$\tan30 = \frac{5}{cd}\\
\\
\frac{1}{\sqrt 3}=\frac{5}{cd}\\
\\
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