(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
Answers
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:
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