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3 years ago

Hi, is there anyone that could explain this?

Mathematics

1 answer:

DiKsa [7]3 years ago

3 0

Answer:

x° = 50°

Step-by-step explanation:

Since all angels on a triangle add up to 180°, we can start from there. We also can see since both angles have the exact same measurements, angle x and the unnamed angle must measure to the same degrees. We can now do 180° - 80° = 100° That leaves the two mystery angles at 100°/2 = 50°.

Therefore, x° = 50°.

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Find the value of x.

melomori [17]

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

m∠x=(1/2)[arc AB-arc AC]

Find the measure of arc AC

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°

Find the measure of angle x

m∠x=(1/2)[200°-120°]=40°

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