In triangle ABC, the degree measure of angle A is 20 degree greater than the degree measure of angle B. Angle C is a right angle. What is the measure of angle B? Is it 70 degrees. 90-20=70
A = B + 20
90 + A + B = 180
Substitute B+20 for A in the second equation and solve for B. Insert that value into the first equation to solve for A. Check by putting both values into the second equation.
To find the measure of angle B, we first need to find the measure of angle A.
In the given information, it is stated that the degree measure of angle A is 20 degrees greater than the degree measure of angle B. Let's represent the measure of angle B as "x". Therefore, the measure of angle A would be x + 20.
Since angle C is a right angle, its measure is always 90 degrees.
Now, we have the measures of angles A (x + 20), B (x), and C (90). The sum of the measures of angles in a triangle is always 180 degrees.
Therefore, we can write the equation:
(x + 20) + x + 90 = 180
Simplifying the equation:
2x + 110 = 180
Subtracting 110 from both sides of the equation:
2x = 180 - 110
2x = 70
Dividing both sides of the equation by 2:
x = 35
So, the measure of angle B is 35 degrees, not 70 degrees.