Question

Find fhe value of x in each figure

Answer 1

Step 1: Problem

Find the value of x in the figure below.

Step 2: Concept

Theorem 1: interior alternate angles are equal

K = 2x + 1 ................................... 1

Theorem 2: The sum of the angles on a straight line is 180

k + x + 35 = 180 ............................. 2

Step 3: Method

substitute k from the first equation to the second equation.

x + 35 + 2x + 1 = 180

Collect like terms

x + 2x = 180 - 35 - 1

3x = 144

x = 144/3

x = 48

Step 4: Final answer

x = 48