Find the sharp corners of a right triangle if one is 10 degrees larger than the other.

Given:
Right angle triangle MKC
angle M = 90 degrees,
angle C = angle A + 10.
Find the degree measure of angle C and angle A -?
Decision:
Consider a right-angled triangle MKC. Let the degree measure of the angle A be equal to x degrees, then the degree measure of the angle C is equal to (x + 10) degrees, the degree measure of the angle M is equal to 90 degrees. We know that the sum of the degree measures of any triangle is 180 degrees. Let’s make the equation:
x + x + 10 + 90 = 180;
x + x + 100 = 180;
2 * x = 180 – 100;
2 * x = 80;
x = 80: 2;
x = 40 degrees – angle A;
40 + 10 = 50 degrees – angle C.
Answer: 40 degrees; 50 degrees.



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