Question

Find the value of x that makes A || B.12B В43522 = 2x + 10 and 24 = 4x + 80x = [ ? ]

Answer 1

Angles 2 and four are same side interior angles, then they are supplementary, that is,

∠2 + ∠4 = 180

Substituting with data:

(2x + 10)+ (4x + 80) = 180

Combining similar terms:

(2x + 4x) + (10 + 80) = 180

6x + 90 = 180

Substracting 90 at both sides:

6x + 90 - 90= 180 - 90

6x = 90

Dividing by 6 at both sides:

6x/6 = 90/6

x = 15