From the adjoining figure, find
1. X
2. angle DAB
3. angle ADB
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Answer :
angle DAB = 70⁰
angle DAB = 70⁰angle ABD = 50⁰
step - by - step explanation:
sum of all angles of polygon = 360⁰
(3x + 10)⁰ + (3x + 4) ⁰ + 50 + ( 5x × 8)⁰ = 360⁰
( 11x ⁰ )+ 72⁰ = 360⁰
( 11x⁰ )= 360⁰- 72⁰
( 11x⁰)= 288⁰
x⁰ = 288⁰ ÷ 11⁰
x⁰= 22⁰ ( round off answer because it is recurring)
angle A = ( 3 × 22 + 4)⁰
= 70⁰
angle D = ( 3 × 22 + 10)⁰
= 76⁰
angle C = (5 × 22 + 8)⁰
= 118⁰
angle x = 22⁰
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