1 Answer

Martel · Answer 1 · 2022-08-08T13:44:11+0000

Given:

The two polygons are similar.

To find:

The value of
$a,\ b,\ m\angle C,\ m\angle D$ .

Solution:

We know that the corresponding side of similar figures are proportional. So,

(5)/(4)=(5.39)/(a)

1.25=(5.39)/(a)

a=(5.39)/(1.25)

a=4.312

Similarly,

(5)/(4)=(5.83)/(b)

1.25=(5.83)/(b)

b=(5.83)/(1.25)

b=4.664

We know that the corresponding angles of similar figures are congruent and their measures are equal. So,

$m\angle C=99.2^\circ$

$m\angle D=149^\circ$

Therefore,
$a=4.312\text{ units},\ b=4.664\text{ units},\ m\angle C=99.2^\circ,\ m\angle D=149^\circ$ .

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