Question

Compute the value of x in each of the following figures

Answer 1

Answer:

first answer

angle d=52

180-92

88will be your answer

second answer

45*2

90will be your answer

Answer 2

Answer:

(i)x=88°

(ii)x=130°

Step-by-step explanation:

FIGURE 1

It is given that ∠BAD=52°

∴∠ADC=52°(alternate interior angles are equal)

∴In triangle DEC,

x=180°-(52°+40°)=180-92°=88°

∴x=88°

FIGURE 2

ABCD is a quadrilateral.

So, ∠D=360°-(35°+45°+50°)

=360°-130°=230°

To find x,

x=360°-230°=130°

SO. x=130°