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zhuklara [117]
3 years ago
12

Given BAI BD mZCBD = 40 +52 m ABC = 82 - 10° Find mZCBD: B D

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0

Answer:

m∠CBD=68°

Step-by-step explanation:

BA is perpendicular to BD, meaning they form a right angle (90°)

This means m∠CBD + m∠ABC=90, or they are supplementary.

We have expressions given for these angles, so

4x+52+8x-10=90

12x+42=90

12x=48

x=4

Knowing x=4, we can substitute back into our expression for m∠CBD because that's what we're looking for.

4(4)+52=68

m∠CBD is 68°.

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