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Please find x and y! And explain!

Please find x and y! And explain!-example-1
User Thomasmalt
by
7.2k points

1 Answer

5 votes

Answer:

x = 10

y = 15

Explanation:

Start with y.

The smaller triangle has a right angle and two congruent legs.

Since the legs are congruent, then the opposite angles are also congruent.

The measures of the 3 angles of the right triangle are:

3y, 3y, 90

The sum of the measures of the angles of a triangle is 180°.

3y + 3y + 90 = 180

6y + 90 = 180

6y = 90

y = 15

The larger triangle has 2 congruent sides. The opposite angles are congruent. Each of the congruent angles measures 2x + 3y. The angle above measures 50°.

2x + 3y + 2x + 3y + 50 = 180

4x + 6y + 50 = 180

4x + 6y = 130

We know from above that y = 15.

4x + 6(15) = 130

4x + 90 = 130

4x = 40

x = 10

User Majid Hazari
by
6.5k points
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