In Fig. 1043, ABCD is a trapezium such that ABIDC. Find 4D and C andve

1.	In Fig. 1043, ABCD is a trapezium such that ABIDC. Find 4D and C andverify that sum of the four angles is 360.4070%Fig. 10.43
Answer» Given, AB \|\| DC Then,angle A + angle C = 180°(cointerior angles)angle C = 180 - 40 = 140° angle B + angle D = 180°(cointerior angles)angle D = 180 - 70 = 110° Now, angle A + angle B + angle C + angle D = 40 + 70 + 140 + 110= 360 Therefore, sum of all angles of trapezium is 360°

In Fig. 1043, ABCD is a trapezium such that ABIDC. Find 4D and C andverify that sum of the four angles is 360.4070%Fig. 10.43

Answer»

Given, AB || DC

Then,angle A + angle C = 180°(cointerior angles)angle C = 180 - 40 = 140°

angle B + angle D = 180°(cointerior angles)angle D = 180 - 70 = 110°

Now, angle A + angle B + angle C + angle D = 40 + 70 + 140 + 110= 360

Therefore, sum of all angles of trapezium is 360°