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Find m help pls worth alot of points :)

Find m help pls worth alot of points :)-example-1
User Pupkin
by
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1 Answer

4 votes

Answer:

m∠C = 50 degrees

Explanation:

∠CAQ is a straight angle (180) so ∠CAB is supplementary to ∠QAB

∠CAQ = ∠QAB + ∠CAB

180 = 110 + ∠CAB

180 - 110 = ∠CAB

70 = ∠CAB

The total angle measurement in all triangles is 180 degrees, knowing this, we can set up the equation:

180 = ∠CBA + ∠BCA + ∠CAB

180 = 2 + 29x + 24x + 2 + 70

180 = 74 + 53x

180 - 74 = 53x

106 = 53x

2 = x

Knowing x = 2, we can solve for m∠C

24(2) + 2 = ∠C

48 + 2 = ∠C

50 = ∠C

User Zihan
by
8.1k points