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2 votes
2 votes
A, B and C lie on a straight line.
BD = CD.
BCD = 30° and Z BAD = 20°.
find x

A, B and C lie on a straight line. BD = CD. BCD = 30° and Z BAD = 20°. find x-example-1
User Fuzzzzel
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1 Answer

12 votes
12 votes

Answer: 10

Explanation:

Since BD=CD, we know that angles BCD and CBD are equal. Thus, angle CBD = 30 degrees.

If angle CBD = 30 degrees, then angle ABD = 150 degrees because these 2 angles are supplementary.

Now, because the sum of the angles of a triangle is 180, x = 180 - 150 - 20 = 10.

User Mc Kevin
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