In the diagram shown, ac is parallel to de. explain how you can tell that triangle abc is similar to triangle dbe, using the angle-angle similarity postulate.
a.) ∠b is an angle of both triangles. side be is a transversal cutting through the parallel sides. thus, ∠bac and ∠bde are alternate interior angles and have equal measures.
b.) ∠b is an angle of both triangles. side bd is a transversal cutting through the parallel sides. thus, ∠bac and ∠bde are corresponding angles and have equal measures.
c.) ∠b is an angle of both triangles. side be is a transversal cutting through the parallel sides. thus, ∠acb and ∠ace are complementary angles and have equal measures.
d.) ∠b is an angle of both triangles. side bd is a transversal cutting through the parallel sides. thus, ∠bac and∠dac are supplementary angles and have equal measures.