Question

PLEASE HELP !!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST

Answer 1

Answer:

x = 22

y = 6

Step-by-step explanation:

GIVEN :-

• AB ⊥ CF

• ∠ABE = (4y + 2)°
• ∠FBE = (3x - 2)°
• ∠FBD = (5x + 6)°

TO FIND :-

• The value of x & y

GENERAL CONCEPT TO BE USED IN THIS QUESTION :-

• Complementary angles :- Two angles are said to be complementary if sum of measure of both angles is equal to 90°.
• Linear Pair :- Two angles are said to be a linear pair if both the angles lie on a straight line & sum of both angles is equal to 180°.

SOLUTION :-

In the figure given in the question , ∠FBE & ∠FBD are linear pair.

⇒ (3x - 2)° + (5x + 6)° = 180°

⇒ 8x + 4 = 180

⇒ 8x = 176

⇒ x = 22°

Also , AB⊥CF.

⇒ ∠ABE & ∠FBE are complementary angles.

⇒ (4y + 2)° + (3x - 2)° = 90°

⇒ 4y + (3×22) = 90   [∵ Putting x = 23]

⇒ 4y + 66 = 90

⇒ 4y = 24

⇒ y = 6

Answer 2

X=22/y=6
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