Answer:
Q1.
x = 83°
y = 79°
Q2.
x = 36°
y = 108°
Step-by-step explanation:
Q1.
Since, measure of exterior angle is equal to the measure of interior opposite angle.
Therefore,
x = 83°
y = 79°
Q2.
Since, y is the measure of exterior angle of the isosceles triangle, hence, by exterior theorem:
y = 54° + 54°
y = 108°
Since, x is the measure of the interior angle of the isosceles triangle.
Thus, by interior angle sum postulate of a triangle:
x + x + y = 180°
2x + 108° = 180°
2x = 180° - 108°
2x = 72°
x = 72°/2
x = 36°
