Question

Given DAB is a straight line, find the value(s) of the unknown(s) in each of the following figures.
Please help me)

Answer 1

angle A is forming on a straight line so its sum is of 180 degree

110 +d = 180

d = 180-110

d =70 degree

Angle d = 70°

sum of all angles of a triangle =180°

$2e + 3e + 70 \: degree \: = 180 \: degree \\ 5e \: + 70 \: degree \: = 180 \: degree \\ 5e \: = 180 - 70 \: degree \\ 5e = 110 \: degree \\ e = \frac{110}{5} \\ e \: = 22$

2e =2*22 =44 degree

3e =3*22 = 66 degree

hence all angles of a triangle are 70°, 44° , 66°