Question

Given that AB is a line segment and the angle y = 47°, work out the value of the angle marked x.

Answer 1

Answer:

x = 133°

Step-by-step explanation:

Straight-line pair - A pair of angles that lie on a straight line.

*Property*

The sum of two angles of a straight-line pair is equal to 180°.

The given angles – x and y – form a straight-line pair.

==> x + y = 180

{y = 47° (given in the question)}

Substituting 47 for y:

==> x + 47 = 180

Subtracting 47 from both sides:

==> x = 47 - 47 = 180 - 47

==> x = 133