To find the measures of angles B and C, we can use the fact that the sum of all angles in a triangle is 180°.
Given that mLA = 67°, m/B = (2x + 20)°, and m<C = x°, we can set up the equation:
67° + (2x + 20)° + x° = 180°
Combining like terms:
67° + 2x + 20° + x° = 180°
3x + 87° = 180°
Subtracting 87° from both sides:
3x = 93°
Dividing both sides by 3:
x = 31°
So, angle C measures 31°.
To find the measure of angle B, we can substitute the value of x back into the equation for m/B:
m/B = (2x + 20)°
m/B = (2 * 31 + 20)°
m/B = 82°
Therefore, angle B measures 82°.
There are angles whose measures add to 180°. Their measures are: mLA = 67°
, m/B = (2x + 20) °, and m<C = x°.
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