The measure of one angle of a right triangle is 38 degrees more than the measure of the smallest angle. find the measures of all three angles.

26° , 64° , 90° all three angles of right angle triangle.

Step-by-step explanation:

Given  : the measure of one angle of a right triangle is 38 degrees more than the measure of the smallest angle.

To find : find the measures of all three angles.

Solution : We have given a right angle triangle

We know that in right angle one angle  = 90 ° .

Let the smaller angle = x .

According to question :

Other angle = 38 + x

By the angle sum property of triangle:  sum of all angle is 180° .

x + 38 +x + 90 = 180.

2x + 38 + 90 = 180.

2x + 128 = 180 .

On subtracting both sides by 128.

2x = 180 - 128.

2x = 52

On dividing both sides by 2.

x = 26.

Smaller angle = 26

second angle 26 +38 = 64

Third angle = 90.

90+ 64 + 26 = 180.

Therefore, 26° , 64° , 90° all three angles of right angle triangle.

1. 1,605

2. -605

3. 21,575

Step-by-step explanation: