In the figure below, suppose mZ1=96° and mZ4=37º. 3
4
Complete the statements below.
The sum of the interior angle measures of a triangle must be lº.
So, mZ1+mZ2+mL4= lº.
We are given that m4=37º.
So, mZ1+m_2= °.
From the figure, we can see that mZ3+ m2 4= ].
Since mZ4=37°, it must be that m3= °.
Therefore, mZ3 ? v m2 1+ m2 2.
This result is an example of the Exterior Angle Property of Triangles.
For any triangle, the measure of an exterior angle
Choose one
equals the sum of the measures of its two remote interior angles.
is greater than the sum of the measures of its two remote interior angles.
is less than the sum of the measures of its two remote interior angles.
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