Question

Please solve with working!! much appreciated!

Answer 1

Answer:

(b).

i). g=75°    ii) x=70°    iii) n=60°

(c). n=69°

Step-by-step 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 $\angle g=\frac{180-30}{2} =75$

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  $\angle n=69$