Answer:
∠1 = 31°
∠2 = 43°
Step-by-step explanation:
All triangles have a sum of 180°
Since we know this, then we know that in the end, the sum of the two triangles should both have a sum of 180° each.
∠2 equals 43° because it corresponds to ∠C and corresponding angles have the same measurement.
Now we can find the measurement of ∠1 by using the big triangle.
180 - (106 + 43)
180 - (149)
31°
So, the measurement of ∠1 is 31°.
Now, let's check our work.
Big triangle:
106 + 43 + 31 = 180
Small triangle:
43 + 31 + 106 = 180
