Question

In a parallelogram ABCD, if angle A = (2x+15)°, angle B = (4x-27)° then find the value of x and the measure of angle C and angle D​

Answer 1

Step-by-step explanation:

Since ABCD is a parallelogram

angle A+ angle B =180⁰ ( corresponding angles)

2x+15⁰+4x-27⁰=180⁰

6X-12=180⁰

6X=180⁰+12

6X=192⁰

X=192⁰/6

x=32⁰

so,angle A=2(32⁰)+15⁰

A=79⁰

now angle A = C because it is a parallelogram

so, angle C=79⁰

and angle B=4(32⁰)-27⁰

B=128⁰-27⁰

B=101⁰

now angle B =angle D

so,angle D=101⁰