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16 votes
16 votes
Help. I have no idea how to do this , just show how angle YXZ and angle YWU are equal

Help. I have no idea how to do this , just show how angle YXZ and angle YWU are equal-example-1
User Ahinkle
by
2.4k points

1 Answer

12 votes
12 votes

Answer:

The triangles are similar by AAA

Explanation:

Here, we want to show that the two triangles are equal

for each of the two, we can see that we have two angles

mathematically, the sum of the angles in a triangle is 180

For the bigger one,

The last angle will be;

180-85 -50 = 45

For the smaller one;

the last angle will be;

180 - 85 - 45 = 50

The angles in the bigger are 45,50 and 85

The angles in the smaller are 45,50 and 85

This shows that both triangles are completely congruent by AAA (angle-angle-angle)

User Buddhabrot
by
2.9k points