Question

What is m∠D ?



Enter your answer in the box.
°
Triangles A B E and D C E share vertex E. Angle A is 14 degrees. Angle B is 45 degrees. Angle C is 27 degrees.

Answer 1

All triangles have angles that add up to 180, so we can take the top triangle, which has angles 14, 45, and x, and say they add up to 180, so 180-14-45=x and x = 121. For E, all angles that look like that and have opposite angles, then these opposites are equal, so both sides of E are 121. then we use the bottom triangle to solve for D with the fact that all triangles' angles add to 180 again. 180-27-121 = D, so D=32

Answer 2

The measure of angle m<D is 32 degrees

The sum of an interior angle of a triangle is 180 degrees

From the given diagram, the sum of interior angle <A and <B is equal to the exterior angle <E

m<E = 14 + 45

m<E = 59 degrees

The interior angle of m<E = 180 - 59 = 121 degrees

Taking the sum of interior angles CED, we will have;

m<C + m<D + m<E = 180

27 + m<D + 121 = 180

m<D = 180 - 148

m<D = 32 degrees

Hence the measure of angle m<D is 32 degrees

Learn more here: https://brainly.com/question/2911081