The english class has half as many students as the math class

Is δ pmr similar to δ smn ? if so, which postulate or theorem proves these two triangles are similar?

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

Match the following reasons with the statements given to create the proof. 1. do = ob, ao = oc sas 2. doc = aob given 3. triangle cod congruent to triangle aob vertical angles are equal. 4. 1 = 2, ab = dc if two sides = and ||, then a parallelogram. 5. ab||dc if alternate interior angles =, then lines parallel. 6. abcd is a parallelogram cpcte