Answer: 71
<u>Step-by-step explanation:</u>
The given triangle is an isosceles triangle so the base angles are congruent (equal). So, the angles are x + x + 38. Since the sum of the angles of a triangle equal 180°, we can set up an equation to solve for x:
x + x + 38 = 180
2x + 38 = 180
<u> -38</u> <u> -38 </u>
2x = 142
<u>÷2 </u> <u> ÷2 </u>
x = 71
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Answer: x = 90 , y = 43
<u>Step-by-step explanation:</u>
The large triangle is an isosceles triangle so the base angles are congruent (equal). So, the angles are 47 + 47 + ∠A. Since the sum of the angles of a triangle equal 180°, we can set up an equation to solve for x:
47 + 47 + ∠A = 180
94 + ∠A = 180
∠A = 86
Since ∠A is bisected by segment AD, then y = (86) = 43
ABD is a triangle with angles y , x, and 47. Their sum equals 180°:
43 + x + 47 = 180
x + 90 = 180
x = 90