Question

If two angles are complementary and one angle is 5 ֯ more than four times the other, Find the angles.

Answer 1

Answer:

✡73° and 17° ☑

Step-by-step explanation:

Given⤵

• Two angle are complementary.
• One angle is 5° more than four times the other.

To find⤵

• Angles.

Solution⤵

Let the one angle is x.

Then other angle is 5° more than 4 times so angle = 4x+5°

We know that complementary angle sum is 90°.

Therefore

x+(4x+5°) =90°

5x+5°=90°

5x=90°-5°

5x=85°

x=$\frac{85°}{5}$

x=17°

other angle is 4×17+5°= 68+5=73°

✅Hence, the angle are 73° and 17°.

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