Complete the statements to find the measurements of ∠a
and ∠b
.
A triangle with angle measures a, b, and 70 degrees. A line extends from angle a to form exterior angle 120 degrees.
CLEARCHECK
Find the measurement of ∠a
.
m∠a +
°
=180°
m∠a =
°
Find the measurement of ∠b
using the measures of the other two angles in the triangle.
m∠b +
°
+
°
=180°
m∠b =
°
Find the measurement of ∠b
using the measures of the other two angles in the triangle.
m∠b +
°
+
°
=180°
m∠b =
°
wrong from the get-go.
you should have started off with
m∠a + m∠b + 70° = 180°
as you said, m∠a = 60°, so that leaves
60° + m∠b + 70° = 180°
giving m∠b = 50°
You are correct, and I apologize for the mistake in my initial response. Thank you for providing the correct method and calculation.
m∠a + m∠b + 70° = 180°
60° + m∠b + 70° = 180°
m∠b + 130° = 180°
m∠b = 180° - 130°
m∠b = 50°
Therefore, ∠b = 50°. Thank you for the correction.
m∠a + 120° = 180°
m∠a = 60°
m∠b + 70° + 120° = 180°
m∠b = 180° - 70° - 120°
m∠b = 10°
In this case:
m∠b + 70° + 120° = 180°
m∠b = 180° - 70° - 120° = 180° - 190° = -10°
However, angles cannot have negative measurements, so it seems there was a mistake in the calculation. Let's correct it:
m∠b = 180° - 70° - 120°
m∠b = 180° - 190°
m∠b = -10°
Since angles in a triangle cannot have negative measurements, it seems the provided angle measures are not possible to form a valid triangle.