The measures of ∠x and ∠y in Fig. are respectively(a) 30°, 60°

1.	The measures of ∠x and ∠y in Fig. are respectively(a) 30°, 60° (b) 40°, 40° (c) 70°, 70° (d) 70°, 60°
Answer» (d) 70^o, 60^o We know that, the exterior angle is sum of interior opposite angles of triangle. So, x + 50^o = 120^o X = 120^o – 50^o X = 70^o We also know that, sum of angles of triangle are equal to 180^o. So, 50^o + x + y = 180^o 50^o + 70^o + y = 180^o 120^o + y = 180^o Y = 180^o – 120^o Y = 60^o Therefore, the measures of ∠x and ∠y is 70^o and 60^o respectively.

The measures of ∠x and ∠y in Fig. are respectively(a) 30°, 60° (b) 40°, 40° (c) 70°, 70° (d) 70°, 60°

Answer»

(d) 70^o, 60^o

We know that, the exterior angle is sum of interior opposite angles of triangle.

So, x + 50^o = 120^o

X = 120^o – 50^o

X = 70^o

We also know that, sum of angles of triangle are equal to 180^o.

So, 50^o + x + y = 180^o

50^o + 70^o + y = 180^o

120^o + y = 180^o

Y = 180^o – 120^o

Y = 60^o

Therefore, the measures of ∠x and ∠y is 70^o and 60^o respectively.