Question

find the value of x in the following ​

Answer 1

Answer:

1) X = 40°

2) X = 45°

3) X = 70°

Hope it's helpful :)

If all are correct please mark brainliest xD

Answer 2

Answer:

In 1st Triangle x = 40°

In 2nd Triangle x = 45°

In 3rd Triangle x = 70°

Step-by-step explanation:

$\large\bf\red{Triangle\;1}$

Let the first triangle be △ABC and ∠B=100° and x be ∠A

AB = BC

The measure of every triangle is 180°

∴ ∠A + ∠B + ∠C = 180°

∴ ∠A + 90° + ∠C = 180°

∴ ∠A + ∠C = 180° - ∠B

∴ ∠A + ∠C = 180° - 100°

∴ ∠A + ∠C = 80°

∴ ∠A = 40° and ∠C = 40°

∴ x = 40°

$\large\bf\red{Triangle\;2}$

Let the second triangle be △LMN and ∠M=90° and x be ∠N

LM = MN

The measure of every triangle is 180°

∴ ∠L + ∠M + ∠N = 180°

∴ ∠L + 90° + ∠N = 180°

∴ ∠L + ∠N = 180° - ∠M

∴ ∠L + ∠N = 180° - 90°

∴ ∠L + ∠N = 90

∴ ∠L = 45° and ∠N = 45°

∴ x = 45°

$\large\bf\red{Triangle\;3}$

Let the second triangle be △XYZ and ∠Y = 40°

XY = YZ

The measure of every triangle is 180°

∴ ∠X + ∠Y + ∠Z = 180°

∴ ∠X + 40° + ∠Z = 180°

∴ ∠X + ∠Z = 180° - ∠Y

∴ ∠X + ∠Z = 180° - 40°

∴ ∠X + ∠Z = 140°

∴ ∠X = 70° and ∠Z = 70°

∴ x = 70°

["If two sides of a ∆ are equal then their opposite angles are also equal."]