12.5k views
13 votes
Find the measures of angles a=(2x+3) and b=(2x-3),if their sum is 120 degrees

User Dpetican
by
6.1k points

1 Answer

2 votes

Answer:

angle A is 63 degrees,

angle B is 57 degrees

Explanation:

first, let's create the equation. Pretty simple, because angles a and b become 120 degrees when added up, this this will become:

2x+3+2x-3=120

now, we make it simpler. In this case, just add up the numbers that we can add up. this eventually becomes:

4x=120

now, all we need to do is divide 120 by 4, which becomes 30. So, x=30.

substitute the 30 into the x in the original equation, and this becomes:

60+3+60-3=120

63+57=120

thus, angle A is 63 degrees, and angle b is 57 degrees.

User Jamzsabb
by
5.6k points