Question

Q.1: A quadrilateral has three acute angles, each measure 80°. What is the measure of the fourth angle?
Q,2: In a quadrilateral ABCD, the measure of the three angles A, B and C of the quadrilateral is 110°, 70° and 80°, respectively. Find the measure of the fourth angle.​

Answer 1

Answer:

Ans 1. 40

Ans 2. 0

Step-by-step explanation:

Ans 1.

80 + 80 + 80 + x = 360

320 + x = 360

x = 360 - 320

x = 40

Ans 2.

110 + 70 + 80 + x = 360

x = 360 - 360

x = 0

Answer 2

Answer:

1. 120°

2. 100°

Step-by-step explanation:

1. sum of all angles of quadrilateral = 360°

Three acute angles of 80° each

sum of three acute angles = 240°

fourth angle = sum of all angles -sum of three angles

= 360°-240°

= 120°

hence,fourth angle is 120°

2. ABCD is a quadrilateral

angle A =110°

angle B =70°

angle C =80°

sum of angle A ,angle B,angle C =260°

fourth angle = sum of all angles - sum of three angles

= 360° - 260°

= 100 °