Question

Hello whats is the size of the angle

Answer 1

65°

Explanation:

Angles on a straight line add up to 180 degrees.

180 - 105 = 75

180 - 140 = 40

Angles in a triangle add up to 180 degrees.

x + 75 + 40 = 180

x + 115 = 180

x = 180 - 115

x = 65

Answer 2

x = 65°

Explanation:

The interior angle of the triangle and 140° are adjacent and supplementary, thus

interior angle = 180° - 140° = 40°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

105° is an exterior angle of the triangle, thus

x + 40° = 105° ( subtract 40° from both sides )

x = 65°