Question

OM is an altitude of ∆OPQ and PM=MQ. Write the three pairs of matching parts and the congruence criterion to prove that ∆POM ≅ ∆QOM.​

Answer 1

∵ ∆ABC is an equilateral triangle

∴ A = 60°

∵ ABEC is a cyclic quadrilateral

∴ ∠A + ∠E = 180° (Sum of opposite angles)

⇒ 60° + ∠E = 180°

⇒ ∠E = 180° – 60° = 120°

∴ m ∠BEC = 120

Answer 2

Answer:

Step-by-step explanation:

since x+y=180degree.... (1)

and x-2y=30 degree. .. (2)

now substrate eq2 from eq1 we get  

3y=150

y=50 degree  

put it in eq1  

x+50=180

x=130degree