Question

if angle A = x + 5 & angle B = 2x - 45 find x & A , B find each angle​

Answer 1

Answer:

Hope it helps..

Plz mark me as Brainlist ..

Thank you !!

Step-by-step explanation:

We know that the opposite angles are equal in a parallelogram

Consider parallelogram ABCD

So we get

∠A=∠C=(2x−25)

o

∠B=∠D=(3x−5)

o

We know that the sum of all the angles of a parallelogram is 360

o

so it can be written as

∠A+∠B+∠C+∠D=360

o

By subtituting the values in the above equation

(2x+25)+(3x−5)+(2x+25)+(3x−5)=360

o

by addition we get

10x+40

o

=360

o

10x=320

o

x=32

o

now substituting the value x

∠A=∠C=(2x+25)

o

=(2(32)+25)

o

∠A=∠C=(54+25)

o

by addition

∠A=∠C=89

o

∠B=∠D=(3x−5)

o

=(3(32)−5)

o

∠B=∠D=(96−5)

o

by subtraction

∠B=∠D=91

o

therefore x=32

o

, ∠A=∠C=89

o

and ∠B=∠D=91

o