Could someone help me with this

Question

m3isha · Answer

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BADKARMA88 · Answer

So you have to find the value of X.

Vocaloid · Answer

On my phone, apologies if anything is unclear

When you have an inner angle made by two intersecting lines, that angle is half the sum of the inner and outer arcs made by those lines

In your example, look at the left angle that intersects arc x. It’s on a straight line with an angle measuring 101. So the left angle is 180 - 101 = 79 degrees.

Now, the lines intersect arcs x and the outer 80 degree arc. So this angle is one half the sum of those two arcs.

So 79 = (1/2)(x+ 80)

Solve for x

Vocaloid · Answer

Here’s an image that better illustrates what I’m trying to get across (bottom left)

m3isha · Answer

@vocaloid wrote:

On my phone, apologies if anything is unclear When you have an inner angle made by two intersecting lines, that angle is half the sum of the inner and outer arcs made by those lines In your example, look at the left angle that intersects arc x. It’s on a straight line with an angle measuring 101. So the left angle is 180 - 101 = 79 degrees. Now, the lines intersect arcs x and the outer 80 degree arc. So this angle is one half the sum of those two arcs. So 79 = (1/2)(x+ 80) Solve for x

tysm

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