Question

Hellllllp I need this answer ADAP‼️‼️ :(((

Answer 1

Answer:

$m\angle D=64^{\circ}$

Step-by-step explanation:

Given

$\triangle ABE\sim \triangle TCD$

Similar triangles have conruent corresponding angles, so

$m\angle A=m\angle T=61^{\circ}\\ \\m\angle B=m\angle C=55^{\circ}\\ \\m\angle E=m\angle D$

The sum of the measures of all interior angles of the triangle is always equal to 180°, so

$m\angle T+m\angle C+m\angle D=180^{\circ}\\ \\61^{\circ}+55^{\circ}+m\angle D=180^{\circ}\\ \\m\angle D=180^{\circ}-61^{\circ}-55^{\circ}=64^{\circ}$