124k views
1 vote
a set of angles has a ratio of 5:2 if the larger angle measures 105 degrees then what is the measure of the smaller angle?

User Prak
by
8.0k points

2 Answers

5 votes
42 degrees. Divide 105 by 5 and get 21 and then multiply it by 2.
User Alex Zak
by
7.5k points
6 votes

Answer:

The measure of the smaller angle is 21°.

Explanation:

We are given that a set of angles has a ratio of 5:2 .

Let the ratio be x

So, Larger angle is 5x

So, smaller angle be x

We are given that he larger angle measures 105 degrees

So,
5x=105


x=(105)/(5)


x=21

So, the measure of the smaller angle is 21°.

User John Ptacek
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories