Find the value of x
Share
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Answer:
>>> 125°
Step-by-step explanation:
Given triangle in which ,
We have to find ,
Solution :
For finding value of x , We are using a theorem called as Exterior Angle Theorem which states that sum of two opposite interior angles of triangle is equal to the exterior angle of triangle.
Here , in the question exterior angle is '∠ACD = x' and two opposite interior angles are '∠BAC = 50°' and '∠ABC = 75°'.
[tex] \sf{ \longmapsto \: \: \:∠BAC +∠ABC = ∠ACD }[/tex]
[tex] \sf{ \longmapsto \: \: \: 50 {}^{ \circ} + 75 {}^{ \circ} = x }[/tex]
[tex] \sf{ \longmapsto \: \: \: \underline{ \boxed{ \bold{ x = 125 {}^{ \circ} }}}} \: \: \: \bigstar[/tex]