11.3k views
1 vote
How did I get a=60 as an answered?

How did I get a=60 as an answered?-example-1
User Donnelle
by
6.3k points

1 Answer

6 votes
The square marker means that the angle is a right angle, or a 90 degree angle.

Rule: For any triangle, the three angles add to 180 degrees.

The angles are: 'a', 'a-30', and 90 degrees

Add them up and set the result equal to 180. Then solve for 'a'
( a ) + ( a - 30 ) + 90 = 180
(a + a) + (-30 + 90) = 180
2a + 60 = 180
2a + 60 - 60 = 180 - 60 ..... subtract 60 from both sides
2a = 120
2a/2 = 120/2
a = 60


Side Note: Since a = 60, this makes a-30 = 60-30 = 30. So the two other angles of the triangle are 60 and 30. Add up the three angles to get 30+60+90 = 90+90 = 180 so that confirms we have the right answer.

User Arul Kumaran
by
7.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.