Answer:
Top: 33°
Bottom: 70°
Explanation:
For the top one, we are trying to find an unknown angle ∠WUV.
we have a 90° angle ∠TUV, where ∠TUW is 57°.
90 - 57 = 33
so, ∠WUV = 33°.
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For the second one, we are trying to find the size of ∠ACB (5x+20). The problem establishes it is on a straight Line ∠BCD, with ∠ACD (10x+10) adding together with ∠ACB to equal 180, so let's start there.
We know Both of those statements above add up to equal 180°, so let's add them together to = 180.
(5x+20) + (10x + 10) = 180
15x + 30 = 180
Now we need to solve for X. First, isolate the variable by subtracting 30 from both sides.
15x = 150.
Next, just divide both sides by the coefficient (15).
x = 10.
Now just plug it in to the equation for the measurement of our angle.
5(10) + 20
50 + 20
70
So, the size of ∠ACB = 70°.