Question

A, B & C lie on a straight line. D, C & E lie on a different straight line. Angle y = 109° and angle z = 58°. Work out x , explaining each stage of your working in the comment box.

A, B & C lie on a straight line.
D, C & E lie on a different straight line.
Angle
y
= 109° and angle
z
= 58°.
Work out
x
, explaining each stage of your working in the comment box.

Answer 1

The exterior of a triangle is the sum of two of its interior angles except the one adjacent to it. The angle x is evaluated as 135°.

What is a triangle?

A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

Given that,

There is a triangle shown in the figure with following angles,

∠y = 102° and ∠Z = 57°.

Angle x is the exterior angle of the given triangle. Use the property of exterior angle to get,

∠x = ∠B + ∠Z

= (180° - y) + 57°

= (180° - 102°) + 57°

= 135°

Hence, the angle x has been worked out as ∠x = 135°.

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