Question

In fig 11.46, what is the value of x.

Answer 1

Answer:

7y+5y=180(linear pair)

12y=180

y=180/12

y=15°

so ATQ

5y=5x15

5y=75

3y=3×15

3y=45

5y+3y+x°=180( angle sum property)

75°+45°+x°=180°

120°+x°=180°

x=180-120

x=60°

Mark as brainliest

Answer 2

Answer:

Angle ABC + Angle DBC = 180° (Linear Pair)

5y° + 7y° = 180°

12y° = 180°

y° = 180°/12

y° = 15°

Angle DBC = Angle BAC + Angle BCA (Exterior Angle Property)

7y° = 3y° + x°

7(15°) = 3(15°) + x°

105° = 45° + x°

x° = 105° – 45°

x° = 60°