Question

4
B
61
(By-13)
(3y + 7)
Kley
A
43
(4x - 1)
(2x +17)
c
What are the measures of LADC and DCB in the figure below?
ZADC =
DCB =
Enter your answer

Answer 1

Answer:

∠ ADC = 100° , ∠ DCB = 39°

Step-by-step explanation:

(3y + 7) and ( 3y - 13) are angles on a straight line and sum to 180° , so

3y + 7 + 3y - 13 = 180

6y - 6 = 180 ( add 6 to both sides )

6y = 186 ( divide both sides by 6 )

y = 31

Then

∠ ADC = 3y + 7 = 3(31) + 7 = 93 + 7 = 100°

and

∠ BDC = 3y - 13 = 3(31) - 13 = 93 - 13 = 80°

∠ BDC = 180° - (61 + 80)° ← angle sum in Δ BCD = 180°

           = 180° - 141°

          = 39°