Question

in figure5, ABCD is a parallelogram . find the value of a,b,c and d​

Answer 1

Answer: a=15,b=45,c=105 and d=30

Step-by-step explanation:

By the given diagram,

∠A=c⁰,∠B=b⁰+2a⁰,∠C=7a⁰ & ∠D=d⁰+3a⁰

The sum of the three angels of the triangle BCD =180⁰

Then, 2a+3a+7a=180

⇒12a=180

⇒a=15

Now from the parallelogram,

∠B+∠C=180⁰ & ∠C+∠D=180⁰ & ∠A=∠C

Then, b+2a+7a=180

⇒b+9×15=180

⇒b=45

Again, 7a+d+3a=180

⇒d+10×15=180

⇒d=30

Again, c=7a

⇒c=7×15

⇒c=105

∴the values of a,b,c and d​ are 15,45,105 and 30