Three straight lines cross at a point. The size of the angle c is 50°. If a straight line split angle c exactly in half, it would meet line XY at a right angle. a) Work out the …

Question

Three straight lines cross at a point.

The size of the angle
`c` is
`50`°.
If a straight line split angle
`c` exactly in half, it would meet line
`XY` at a right angle.

a) Work out the size of angle
`d`.
b) Describe any angle facts that you use in your working.

Answer 1

the ange is 65 degrees

Answer 2

d= 65°

Explanation:

it says angle c (50°) split in half meets line xy at a right angle

50 ÷2 = 25°

and aright angle is 90°

so 90° - 25° = 65°

so the angle between c and d is 65° ( call it a )

however the angle opposite c is also 50° as they are opposite angles ( call it b )

angles a ,b and d all lie on a straight line which is 180°

so 180 - (65°+50°) = 65°

so angle d is 65°