Two adjacent angles of parallelogram ABCD measure $(x^{2})$ deg and $(8 x)$ deg, where $x$ is a positive whole number.
Find the larger of these two angles (in degrees).

Question

Two adjacent angles of parallelogram ABCD measure (x^2) deg and (8x) deg, where x is a positive whole number. Find the larger of these two angles (in degrees).

Accepted Answer

100°. Adjacent angles are supplementary: x^2 + 8x = 180, so x^2 + 8x - 180 = 0, (x + 18)(x - 10) = 0, giving x = 10. The angles are x^2 = 100° and 8x = 80°. The larger is 100°.

Two adjacent angles of parallelogram ABCD measure $(x^{2})$ deg and $(8 x)$ deg, where $x$ is a positive whole number.
Find the larger of these two angles (in degrees).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Properties of Parallelograms practice

Two adjacent angles of parallelogram ABCD measure (x2) deg and (8x) deg, where x is a positive whole number.Find the larger of these two angles (in degrees).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Properties of Parallelograms practice

Two adjacent angles of parallelogram ABCD measure $(x^{2})$ deg and $(8 x)$ deg, where $x$ is a positive whole number.
Find the larger of these two angles (in degrees).