Question
There are angles whose measures add to 180°. Their measures are: mLA = 67°, m/B = (2x + 20) °, and m<C = x°
. What is the measure of LB? (1 point)
. What is the measure of LB? (1 point)
Answers
GPT 3.5
The sum of the measures of angles in a triangle is always 180°. So, we can write the equation:
mLA + m/B + m<C = 180°
Substituting the given values, we have:
67° + (2x + 20)° + x° = 180°
Simplifying the equation:
67° + 2x + 20° + x = 180°
3x + 87° = 180°
Subtracting 87° from both sides:
3x = 93°
Dividing both sides by 3:
x = 31°
Now we can substitute x back into the equation to find m/B:
m/B = 2x + 20
m/B = 2(31) + 20
m/B = 62 + 20
m/B = 82°
Therefore, the measure of LB is 82°.
mLA + m/B + m<C = 180°
Substituting the given values, we have:
67° + (2x + 20)° + x° = 180°
Simplifying the equation:
67° + 2x + 20° + x = 180°
3x + 87° = 180°
Subtracting 87° from both sides:
3x = 93°
Dividing both sides by 3:
x = 31°
Now we can substitute x back into the equation to find m/B:
m/B = 2x + 20
m/B = 2(31) + 20
m/B = 62 + 20
m/B = 82°
Therefore, the measure of LB is 82°.