Question

(3)
out the measure
of all the interior angles.
One of the exterior angles of a triangle is 150° and the interior opposite angles are equal to each other
What is the measure of each of these angles

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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=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

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Answer 2

Answer:

hope so it will helpful to you