Question

Find the m∠bac, if m∠dec = 58° and m∠edc = 43°.
1) 43°
2) 101°
3) 58°
4) 79°

Answer 1

To find the measure of angle BAC, subtract the sum of angles DEC and EDC from 180 degrees.

Step-by-step explanation:

To find the measure of angle BAC, we need to use the Angle Sum Theorem. According to the theorem, the sum of the measures of the angles in a triangle is 180 degrees.

Given that angle DEC is 58 degrees and angle EDC is 43 degrees, we can find angle BAC by subtracting the sum of these two angles from 180 degrees:

Angle BAC = 180 - (58 + 43) = 180 - 101 = 79 degrees.