Answer: 70°
Step-by-step explanation:
We know that the sum of all 3 angles in a triangle is 180°. Hence, we can just set all measures to be equal to 180° and solve for the variables.
Left Triangle
[tex]p+65+90=180\\p+155=180\\p=25[/tex]
Right Triangle
[tex]45+90+q=180\\135+q=180\\q=45[/tex]
Sum
[tex]p+q=25+45=70[/tex]
The sum of p and q is 70°.
