Madison drew angle def in her triangle, angle d is represented as x degrees. the measure of angle e is half the measure of angle d. the measure of angle f is 2 degrees less than twice angle d. what is angle f?

The measure of angle ∠F is 102°.

Step-by-step explanation:

Given : Triangle DEF.

To find ∠F =?

Solution:

∠D = x

∠E = ∠D = 0.5x

∠F = 2∠D -2 = 2x-2°

Applying angle sum property of the triangle:

∠D + ∠E + ∠F = 180°

x = 52

∠F = 2x-2° = 2 × 52° - 2° = 102°

The measure of angle ∠F is 102°.

(c, 0) i might be wrong so don't put full faith on my answer