Question

Please solve with working!! much appreciated!

Answer 1

(b).

i). g=75° ii) x=70° iii) n=60°

(c). n=69°

Explanation:

Given,

i) Two sides are equal that means the triangle is an isosceles triangle.

We know opposite angles of isosceles triangle are equal.

That means
`\angle g=(180-30)/(2) =75`

ii)The third vertex of the larger triangle will have an angle of
`180-(90+40)=50`

Thus there will be 20° next to 30°.

Therefore
`\angle x=180-(90+20)=70`

iii) All sides are equal thus it is an equilateral triangle.

Therefore each angle is
`60` degree.

c) Linear pair of 111° would be 180-111=69°

We see that
`\angle n` is corresponing to
`69`

Therefore
`\angle n=69`