Question

32. A quadrilateral has angles 3x°, 4x°, 5x° and
6xº respectively. Find the value of ADC.​

Answer 1

Answer:

3x + 4x + 5x + 6x

7x + 11x

=18x

Answer 2

Answer:

Let the quadrilateral be ABCD

Let all the angles be :

• angle A = 3x
• angle B = 4x
• angle C = 5x
• angle D = 6x

Sum of all angles of quadliteral is 360

• <A + <B + <C + <D = 360
• 3x + 4x + 5x + 6x = 360
• 18x = 360
• x = 360/18
• x = 20

All angles are :

• <A = 3x = 3(20) = 60
• <B = 4x = 4(20) = 80
• <C = 5x = 5(20) = 100
• <D = 6x = 6(20) = 120

Answer : <ADC = 6x = 6(20) = 120