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