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Alexxx [7]
2 years ago
10

HELP!!!!!!!!! I DONT UNDERSTAND THIS

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
6 0

Answer:

x=86^{\circ}

y=94^{\circ}

z=54^{\circ}

Step-by-step explanation:

First, let's look at the largest triangle (two smaller triangles are combined) to solve for z. Since the sum of the angles in a triangle adds up to 180^{\circ}, we can write the equation:

20+74+32+z=180

z=180-126

z=54^{\circ}

Looking at the smaller triangle on the left, y (exterior angle) is the sum of the two opposite interior angles of the triangle on the left:

y=74+20

=94^{\circ}

Since x is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:

x=32+z

=32+54

=86^{\circ}

Hope this helps :)

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