Question

triangle ABC is a right triangle whose right angle is ABC what is the m

Answer 1

EXPLANATION

Since we have the triangle, and the measure m

We have two complementary angles inside the angle DBF,

m

Substituting terms:

x - 12 + x = 90

Adding like terms:

2x - 12 = 90

Adding +12 to both sides:

2x = 90 + 12

Adding numbers:

2x = 102

Dividing both sides by 2:

x = 102 / 2

Simplifying:

x = 51

Finally, by the Vertical Angles Theorem, we can affirm that the angles GBC and DBE are both congruent.

Plugging in x=51 into the given equation:

x-12

51-12=39

In conclusion, the measure of the angle GBC is of 39 degrees