Two adjacent angles from a right angle. the larger angle is 3 times the measurement of the smaller angle which is the measuremen

Question

Nata [24]

3 years ago

8

Two adjacent angles from a right angle. the larger angle is 3 times the measurement of the smaller angle which is the measuremen

t of the angle?
45°
22.5°
67.5°
30°

Mathematics

1 answer:

Alisiya [41] · Answer 1 · 2022-10-25T04:34:36+03:00

Answer:

Because two adjacent angles from a right angle sums up to 90° and the larger angle is 3 times the measurement of the smaller angle, the equation would be 3a + a = 90° (A will be the substituting variable for the smaller angle). Add the like terms to get 4a=90. Divide 4 on both sides to get 22.5°. Substitute 22.5 into the variable, a, to get 67.5. This means that the larger angle would be 67.5° and the smaller angle would be 22.5°.