Quadrilateral ABCD has angle A = (x + 30), angle B = (2x), angle C = (x + 40) and angle D = (2x - 10) degrees. Find x, then check whether opposite angles A and C are supplementary (sum to 180). What is the sum of angle A and angle C?

Question

Accepted Answer

170. Sum: (x+30)+(2x)+(x+40)+(2x-10) = 6x + 60 = 360, so 6x = 300, x = 50. angle A = 80, angle C = 90, A + C = 170°, which is NOT 180, so A and C are not supplementary.

Quadrilateral ABCD has angle $A = (x + 30)$ , angle $B = (2 x)$ , angle $C = (x + 40)$ and angle $D = (2 x - 10)$ degrees.
Find $x$ , then check whether opposite angles A and $C$ are supplementary (sum to 180).
What is the sum of angle A and angle $C$ ?

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More Class 9 Angle Sum Property of Quadrilaterals practice

Quadrilateral ABCD has angle A=(x+30), angle B=(2x), angle C=(x+40) and angle D=(2x−10) degrees.Find x, then check whether opposite angles A and C are supplementary (sum to 180).What is the sum of angle A and angle C?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum Property of Quadrilaterals practice

Quadrilateral ABCD has angle $A = (x + 30)$ , angle $B = (2 x)$ , angle $C = (x + 40)$ and angle $D = (2 x - 10)$ degrees.
Find $x$ , then check whether opposite angles A and $C$ are supplementary (sum to 180).
What is the sum of angle A and angle $C$ ?