0.3d-1 / 3 1/3 = 0.84: 7/15

0.3

d

−

1

3.33

=

0.84

×

15

7

Further

0.3

d

−

1

=

12.6

×

3.33

7

0.3

d

−

1

=

42

7

0.3

d

−

1

=

6

0.3

d

=

6

+

1

0.3

d

=

7

d

=

7

0.3

d

=

23.33

or

d

=

23

1

3

c-4 is the final answer! : )

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°