Question

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

Answer 1

`m\angle D=64^(\circ)`

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)`