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 [tex]\angle g=\frac{180-30}{2} =75[/tex]
ii)The third vertex of the larger triangle will have an angle of [tex]180-(90+40)=50[/tex]
Thus there will be 20° next to 30°.
Therefore [tex]\angle x=180-(90+20)=70[/tex]
iii) All sides are equal thus it is an equilateral triangle.
Therefore each angle is [tex]60[/tex] degree.
c) Linear pair of 111° would be 180-111=69°
We see that [tex]\angle n[/tex] is corresponing to [tex]69[/tex]
Therefore [tex]\angle n=69[/tex]
