Two angles of a triangle have the same measure and the third one is 24 degrees greater than the
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Let us observe the given figure,
When two lines intersect each other, the angles opposite to each other are Vertically Opposite Angles. Vertically opposite angles are always equal in measure.
As, we can observe that the given lines intersect each other, and they form vertically opposite angles as and
Therefore,
Substituting the given measures of the angles, we get
So, x =
Since, the measure of angle POR =
=
=
Therefore, the measure of angle POR is 49 degrees.