Atriangle with exterior angles is shown. a horizontal line intersects with a diagonal line. another line connects the horizontal line to the diagonal line to form a triangle. the exterior angle at the top left of the triangle is 130 degrees. the exterior angle at the top right of the triangle is x degrees. the exterior angle at the bottom of the triangle is 134 degrees.

the value of x is

84

96

132

264

96

Step-by-step explanation:i just took the test

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step-by-step explanation:

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