Question

Questions:

PQ is a straight line.
Diagram NOT
accurately drawn
(126% )
(a)
Work out the size of the angle marked xº.
(b) (i) Work out the size of the angle marked yº.
Give reasons for your answer.

Answer 1

the answer is up u can see it if u want explanation u can message me here

Answer 2

a. The size of the angle marked x° is 54°.

b. i. The size of the angle marked y° is 72°.

b. ii. PQ is a straight line, so angles P and Q add up to 180°.

(a) The size of the angle marked x° is 180° - 126° = 54°.

This is because angles in a straight line add up to 180°.

(b)(i) The size of the angle marked y° is 180° - 2 * 54° = 72°.

This is because the angles at the base of an isosceles triangle are equal.

Reasons:

PQ is a straight line, so angles P and Q add up to 180°.

Triangle PQR is an isosceles triangle because PQ = PR.

The angles at the base of an isosceles triangle are equal.