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?

5:2

5:105

2:x

=105*2=5x

=210/5x

=smaller angle is euqals to 42 degree's

Step-by-step 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

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!