In triangle DEF, side EF is extended to G. The exterior angle DFG = (x^2 - 20) deg and the interior opposite angles are 30° and 50°. Find the positive value of x.

Question

Accepted Answer

10. Exterior DFG = 30 + 50 = 80. So x^2 - 20 = 80, x^2 = 100, x = 10 (taking the positive value).

In triangle DEF, side EF is extended to G. The exterior angle DFG = $(x^{2} - 20)$ deg and the interior opposite angles are 30° and 50°. Find the positive value of $x$ .

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Exterior Angle Property practice

In triangle DEF, side EF is extended to G. The exterior angle DFG = (x2−20) deg and the interior opposite angles are 30° and 50°. Find the positive value of x.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Exterior Angle Property practice

In triangle DEF, side EF is extended to G. The exterior angle DFG = $(x^{2} - 20)$ deg and the interior opposite angles are 30° and 50°. Find the positive value of $x$ .