Question

An angle measures 45​° more than 14 times the measure of its complementary angle. What is the measure of the​ angle?

Answer 1

Answer: 87°

Step-by-step explanation:

Let the angle be x°.

= Complement of the angle = 14x + 45

Sum of complementary angles = 90°

⇒ $x+14x+45=90$

⇒$15x=90-45$

⇒$15x=45$

⇒$x=\frac{45}{15} =3$

∴ Required angle = $14x+45=(14*3)+45=87$

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