find the measure of each of the two angles formed by bisecting an angle of measure 150
Answers
Answer:
75 degree
Step-by-step explanation:
measure of each angle is = 150°
measure of one angle is =150/2=75°
Value of each angle:
Let us consider an angle say ∠A=150°
As an obtuse angle is a type of angle that is always greater than 90° but less than 180°, it is an obtuse angle. In other words, its angle ranges from 90° to 180°.
To find the value of each angle say ∠x and ∠y bisecting the ∠A
we can say that,
∠x + ∠y = ∠A =150°
when an angle is bisected it bisects into two equal angles
so we say that,
∠x = ∠y
Now,
∠x +∠y =∠A = 150°
∠x+∠x= ∠A = 150°
2∠x = 150°
∠x = 75°
From the above equation
∠x = ∠y
∠x = 75°
∠y = 75°
these values also satisfy the given value of ∠A = 150°
∠x + ∠y = ∠A =150°
75° +75° = ∠A =150°
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