The three inside angles (A, B and C) of a right-angled triangle
1 answer:
Answer:
The measure of angle A is 35°
The measure of angle B is 90°
The measure of angle C is 55°
Step-by-step explanation:
Let
x -----> the measure of angle A
y ----> the measure of angle B
z ----> the measure of angle C
we have
Observing the ratio
The smallest angle is x and the greatest angle is y
In a right triangle, the measure of the right angle is the greatest angle and the sum of the other two angles is equal to 90 degrees, because are complementary angles
so
y=90° -----> equation A
x+z=90° -----> equation B (by complementary angles)
x=35° -----> equation C (the smallest angle)
Substitute the value of x in equation B and solve for z
35°+z=90°
z=90°-35°=55°
therefore
The measure of angle A is 35°
The measure of angle B is 90°
The measure of angle C is 55°
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