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Find the values of x y and z.The answers are in degrees.

Find the values of x y and z.The answers are in degrees.-example-1
User Leos Ondra
by
8.4k points

1 Answer

4 votes

Answer

x = 35°

y = 145°

z = 25°

Step-by-step explanation

We are told to solve for x, y and z.

Considering the first triangle with angles 55°, x° and the right angle (90°).

The sum of angles in a triangle is 180°.

So,

x° + 55° + 90° = 180° (Sum of angles in a triangle is 180°)

x° + 145° = 180°

x = 180° - 145° = 35°

Then, we can solve for y. Angles x and y are on the same straight line, and the sum of angles on a straight line is 180°

x° + y° = 180°

35° + y° = 180°

y° = 180° - 35°

y° = 145°

We can then solve for z°. The big triangle has angles (55° + 10°), z° and the right angle (90°).

The sum of angles in a triangle is 180°.

So,

55° + 10° + z° + 90° = 180°

z° + 155° = 180°

z = 180° - 155°

z° = 25°

Hope this Helps!!!

User Joham
by
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