Question

A set of angles has a ratio of 5 to 2. If the larger angle is 105 degrees then what is the measure of the smaller angle?

Answer 1

5:2

5:105

2:x

=105*2=5x

=210/5x

=smaller angle is euqals to 42 degree's

Explanation:

we first note down the ratio

since we given the degree of the larger ratio we write 5 is equal to 105 and 2 is equals to x. we looking for x which is the degree of the smaller angle

after that we cross multiple, when we cross multiple therefore it gives us 105 multiplied by 2 and 5 multiplied x

it will give us 210 and 5x remember we a looking for the value of x

in order for us to remain juss x we divide 210 by 5x

it will give us x= 42

remember x here represent the value of the smaller angle