find the unknow angles marked in each of the following figures.
Share
find the unknow angles marked in each of the following figures.
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.
here
angle 1= 110
<BAC= 180-110....by linear pair
=><BAC=70°
now <DCA=120°
similarly by linear pair
<BCA=60°
now in triangle ABC
<A+<B+<C=180.....ANGLE SUM PROPERTY
70+<B+60=180
<B=180-130
<B=50°
Here is your answer....
Angle BAC = 180°- 110° [Linear pair]
= 70°
Now,
Angle BAC + x = Angle ACD [Exterior angle property]
=> 70 + x= 120
=> x = 120-70
=50°
And, Angle ACB = 180- angle ACD [Linear pair]
= 180°-120°
= 60°
Hope this helps you....