Question

Find the m∠bac, if m∠dec = 45° and m∠edc = 65°.
1) 50°
2) 70°
3) 60°
4) 80°

Answer 1

The measure of angle BAC is found to be 70 degrees, determined by the triangle angle sum concept that states the sum of interior angles in a triangle equals 180 degrees.

Step-by-step explanation:

To find the measure of angle BAC, we need to understand the concept of triangle angle sum, which states that the sum of the interior angles of a triangle is always 180 degrees. Given m∠DEC = 45° and m∠EDC = 65°, we can find the measure of angle ECD (which we can assume is the same as angle BAC) by understanding that angle DEC + angle EDC + angle ECD = 180°. Therefore, m∠ECD = 180° - 45° - 65° = 70°. The measure of angle BAC, in this case, is equivalent to m∠ECD, which is 70°.