Aset of angles has a ratio of 5: 2 if the larger angle measures 105 degrees then what is the measure of the smaller angle?

The measure of the smaller angle is 21°.

Step-by-step 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,

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

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step-by-step explanation

2r= 2300

r =1150

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq