Question

in parallelogram ABCD, MLA:MLB=3:2 Find measure of all angle.​

Answer 1

Step-by-step explanation:

search-icon-header

Search for questions & chapters

search-icon-image

Class 8

>>Maths

>>Understanding Quadrilaterals

>>Parallelogram

>>In a parallelogram ABCD , If A = (3x +

Question

Bookmark

In a parallelogram ABCD, If ∠A=(3x+12)

∘

, ∠B=(2x−32)

∘

then find the value of x and then find the measures of ∠C and ∠D.

Medium

Solution

verified

Verified by Toppr

∠A=(3x+12)

o

∠B=(2x−32)

o

Now sum of adjacent angles of a parallelogram is 180

o

.

⇒∠A+∠B=180

o

⇒3x+12+2x−32=180

⇒5x−20=180

⇒5x=200

⇒x=40

So

∠A=(3(40)+12)

o

=132

o

∠B=(2(40)−32)

o

=48

o

Now opposite angles in a parallelogram are equal

⇒∠A=∠C and ∠B=∠D

∴∠C=132

o

and ∠D=48

o

.