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gtnhenbr [62]
3 years ago
15

Find the value of x.

Mathematics
1 answer:
melomori [17]3 years ago
7 0

Answer:

The measure of angle x is 40°

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs which comprises

see the attached figure with letters to better understand the problem

so

m∠x=(1/2)[arc AB-arc AC]

<u><em>Find the measure of arc AC</em></u>

we know that

arc AB+arc BC+arc AC=360° ----> by complete circle

substitute the given values

arc AB=200°

arc BC=40°

arc AC=?

200°+40°+arc AC=360°

240°+arc AC=360°

arc AC=360°-240°=120°

<u><em>Find the measure of angle x</em></u>

m∠x=(1/2)[200°-120°]=40°

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