Question

one of the exterior angle of ABC measures 150 degree. if one of the interior opposite angle id 75 degree. find the other interior opposite angle. what type of triangle is this

Answer 1

Answer:

The another interior opposite angle is 75 ° and The given triangle is isosceles.

Step-by-step explanation:

Exterior angle = 150°

One of the interior opposite angle = 75°

let the another interior opposite angle be x

So, $x+75=150$ (exterior angle property of triangle)

$x=150-75$

$x=75$

Let the third angle of triangle be y

So, $75+75+y=180$(Angle sum property of triangle )

$150+y=180$

$y=30$

Since the two angles are equal So, the opposite sides of equal angles are equal .

So, The given triangle is isosceles .

Hence  the another interior opposite angle is 75 ° and The given triangle is isosceles.

Answer 2

Step-by-step explanation:

The another interior opposite angle is 75 ° and The given triangle is isosceles.

Step-by-step explanation:

Exterior angle = 150°

One of the interior opposite angle = 75°

let the another interior opposite angle be x

So, x+75=150x+75=150 (exterior angle property of triangle)

x=150-75x=150−75

x=75x=75

Let the third angle of triangle be y

So, 75+75+y=18075+75+y=180 (Angle sum property of triangle )

150+y=180150+y=180

y=30y=30

Since the two angles are equal So, the opposite sides of equal angles are equal .

So, The given triangle is isosceles .

Hence the another interior opposite angle is 75 ° and The given triangle is isosceles