# Maths worksheet for angles and lines

1) In the figure below, not drawn to scale, G is the centre of the circle. AB, CD, DE, EF are straight lines. ∠CGE is twice the size of ∠AGC. ∠ABD = 123°.
(a) Name the angle which is the same size as ∠CAG.
(b) Find the value of ∠CAG.

Ans :- a) ∠GCA
b) 71° .

2) In the figure below (not drawn to scale), ABCD is made up of 4 identical rhombuses. Given that AC = dc, find ∠EOB.

Ans :- 150°.

3) The figure below is not drawn to scale. ABD and ACE are straight lines. AB = BC = CD = DE. Find ∠x.

Ans :- 72°.

4) In the figure below, not drawn to scale, ABCD, EGCF and JCHK are three identical rectangles.
Find ∠a.

Ans :- 7°.

5)The figure below is not drawn to scale is made of 5 straight lines, AC, AD, BD, BE and CE. Find ∠h.

Ans :- 30°.

6)ABCD is a rhombus. ∠BAC = 33° and ∠CED = 54°. Find ∠ACE.

Ans :- 21°.

7) In the figure, not drawn to scale, ABCD is a square, ADF is an isosceles triangle with DA = DF. BCE is an equilateral triangle and EDF is a straight line. Find ∠x and ∠y.

Ans :- ∠x = 15°
∠y = 37.5°.