Question

What is the measure of the missing angle in the figure below?

A.22 degrees
B.23 degrees
C.24 degrees
D.25 degrees

Answer 1

Hint: We are given a triangle with two measures and we are supposed to find the measure of the third angle. To find the measure of the third angle, we are going to use the most important property of the triangle: that is the sum of all the angles in a triangle is equal to 180. Here, we are given measures of two angles, now we need to suppose the third angle as x and then form the equation. Equation will be $ x + 144 + 13 = 180 $ . Solving this equation will give us the measure of the third angle.

Complete step-by-step answer:
In this question, we are given a figure of an obtuse angled triangle. We are given the measures of two angles and are supposed to find the measure of the third angle.
Let the measure of this third angle be x.
Now, a very important property of triangles all must know is that the sum of all the angles in a triangle equals $ 180^\circ $ .
To find the measure of the third angle, we have to use this property.
So, the sum of 144 and 13 and x will be equal to 180.
Therefore, $ x + 144 + 13 = 180 $
 $
   \Rightarrow x + 157 = 180 \\
   \Rightarrow x = 180 - 157 \\
   \Rightarrow x = 23 \;
  $
Hence, our answer is option B.
So, the correct answer is “Option B”.

Note: We can cross check our answer by adding 23 to 144 and 13. According to the property, the answer should be equal to 180.
 $ \Rightarrow 144 + 13 + 23 = 144 + 36 = 180 $
Hence, our answer is correct.