Find the measure of the given angles. Show work!!

Given:

The figure of a right angle triangle.

To find:

The value of x and measures of all angles of the triangle.

Solution:

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property, we get

It can be written as

Divide both sides by 2.

The value of x is -10.

Now,

And,

Therefore, the value of x is -10, measure of angle A is 40 degrees and measure of angle B is 50 degrees.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x