Download more work with missing angles 2016

Math 7/8 More Work with Missing Angles in Figures 2016
Name ___________________________
February 23, 2016
Review of Main Ideas with Angles so far:
Two angles are complementary angles if the sum of the measures is __________.
Two angles are supplementary angles if the sum of the measures is __________.
All straight lines have a sum of _______________.
All triangles have a sum of _____________.
Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are
____________.
In a triangle, the measure of an exterior angle is equal to the sum of the two remote _____________
angles.
*In any triangle, the sum of any two sides must be ______________ than the third side.
Warm-Up↑ Questions
Find the value of x in each figure below:
1)
3)
2)
4)
We can use what we know about angles above in combinations to find the missing angles of more
complicated problems.
Example 1:
If m∠𝐾𝐺𝐽 = 25, find the 𝑚∠𝐾𝐺𝐶 = _______________.
If m∠𝐾𝐺𝐽 = 25, find the 𝑚∠𝐷𝐺𝐸 = _______________.
If m∠𝐾𝐺𝐽 = 25, find the 𝑚∠𝐼𝐽𝐻 = _______________.
If m∠𝐾𝐺𝐽 = 25, find the 𝑚∠𝐼𝐽𝐾 = _______________.
Example 2:
Example 3:
Guided Practice:
1)
Find the sum of the measures of the interior angles of a 12-sided figure.
2)
3)
4)
Hmwk p. 107-108 (1, 4, 6, 8, 10, 11, 14, 15) & p. 110 (31 – 35)