Question

In the figure alongside, if angle 1 = (2y + 10)°, angle 2 = (3x + 10)° and angle 3 = (4x - 10)° then find the values of x, y, 1, 2, 3anupch​

Answer 1

$\huge{\orange{\underline{\overline{\bf{SoluTion}}}}}$

Given,

Angle 1 = (2y+10)°

Angle 2 = (3x+10)°

Angle 3 = (4x-10)°

Angle 1 = Angle 2

{Corresponding Angles}

Angle 1 = Angle 3

{Vertically Opposite Angles}

Hence, Angle 2 = Angle 3 [ = Angle 1]

$→\;{\sf{(3x+10°) = (4x-10)°}}$

$→\;{\sf{10°+10° = 4x-3x}}$

$→\;{\red{\sf{x = 20°}}}$

◕➜ Angle 2 = (3×20°+10°) ☞ 70°

◕➜ Angle 3 = {4×20°-10°) ☞ 70°

Now, Angle 1 = Angle 3

$→\;{\sf{(2y+10°) = 70°}}$

$→\;{\sf{2y = 70°-10°}}$

$→\;{\sf{y = {\cancel{\frac{60°}{2}}}}}$

$→\;{\green{\sf{y = 30°}}}$

◕➜ Angle 1 = (2×30°+10°) ☞ 70°

Hope It Helps You ✌️

Answer 2

Step-by-step explanation:

in the figure alongside,if x-y=40° then find the value of X and y.