We are given that δabc is isosceles with ab ≅ ac. using the definition of congruent line segments, we know that . let’s assume that angles b and c are not congruent. then one angle measure must be greater than the other. if m∠b is greater than m∠c, then ac is greater than ab by the . however, this contradicts the given information that . therefore, , which is what we wished to prove. similarly, if m∠b is less than m∠c, we would reach the contradiction that ab > ac. therefore, the angles must be congruent.

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared

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