Mathsheets
Printable math worksheets for teachers and families
Name
Date
Time
:
to
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Angle Reasoning: Triangles and Parallel Lines — Mixed
Find each missing angle and say which angle fact you used.
Example
Two parallel lines are cut by a transversal. One angle is 68°. Find
x
. →
x = 68°, because corresponding angles on parallel lines are equal.
1.
P
Q
R
37°
79°
x
Find
x
, and give the reason.
x
=
Reason:
2.
52°
x
The two horizontal lines are parallel. Find
x
, and give the reason.
x
=
Reason:
3.
48°
73°
P
Q
R
y
Side PQ is extended past Q. Find the exterior angle
y
, and explain why it equals the sum of the two angles at P and R.
y
=
Why?
4.
P
Q
R
46°
75°
59°
Triangle XYZ has angles of 46° and 75°. Is triangle XYZ similar to triangle PQR? State what the third angle of XYZ must be.
yes
no
third angle
Why?
5.
P
Q
R
48°
60°
x
Find
x
, and give the reason.
x
=
Reason: