Answer:
x= 24
Step-by-step explanation:
Given: A || B
This means that A is parallel to B.
Properties we can make use of when we have parallel lines are corresponding angles (e.g. ∠1= ∠4) and interior angles (e.g. ∠2 +∠4= 180°).
Let's make use of corresponding angles.
∠6= (3x +7)° (corr. ∠s, A||B)
Since D is a straight line and the sum of the angles on a straight line is 180°,
(4x +5)° +∠6= 180° (adj. ∠s on a str. line)
Substitute ∠6= (3x +7)°:
(4x +5)° +(3x +7)°= 180°
Simplify:
(7x +12)°= 180°
7x +12= 180
7x= 180 -12
7x= 168
Divide both sides by 7:
x= 168 ÷7
x= 24
