Triangle Sum Theorem Exterior Angle Theorem, Study notes of Geometry

Show work your work below: b) Given that m∠GDE = 58° , find m∠DEF using what you know about the sum of the interior angles of a ...

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Name_____________________________________________Date___________________________Period____________
We will be able to: __________________________________________________________________________________
Warm-Up:
a) Given that mGFE = 145, use what you know about
linear pairs to find mDFE. Show work your work below:
b) Given that mGDE = 58 , find mDEF using what you know about the sum of the interior angles of a triangle.
c) mDEF + mGDE = __________
d) mGFE = __________
e) Using key vocabulary, describe what you notice about your answers to part c and d.
Triangle Sum
Theorem
Exterior Angle
Theorem
Example 1: Find m2. Then, classify the triangle by its angles.
Example 2: Find the value of x and the measure of the exterior angle. Then, classify the triangle by its angles.
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Name_____________________________________________Date___________________________Period____________ We will be able to: __________________________________________________________________________________ Warm-Up: a) Given that m∠GFE = 145, use what you know about linear pairs to find m∠DFE. Show work your work below: b) Given that m∠GDE = 58 , find m∠DEF using what you know about the sum of the interior angles of a triangle. c) m∠DEF + m∠GDE = __________ d) m∠GFE = __________ e) Using key vocabulary, describe what you notice about your answers to part c and d.

Triangle Sum

Theorem

Exterior Angle

Theorem

Example 1: Find m∠2. Then, classify the triangle by its angles. Example 2: Find the value of x and the measure of the exterior angle. Then, classify the triangle by its angles.

Name________________________________________________________Date______________________Period______ Independent Practice Find the value of x. Justify your answer by naming the theorem you used.

Find the value of x and the three interior angle measures of each triangle. Then, classify the triangle by its angles.

Find the measurement of angles 1, 2, 3 and 4 in the following diagrams.