Answer:
4. B
5. C
Step-by-step explanation:
4.
We can say the 5 angles of the Pentagon PQRST equals 540 degrees.
We see that Angle P and Angle T are 90 degrees each.
R is given as 100
Q and S are same, let it be "x"
Now we can write an equation:
P + Q + R + S + T = 540
90 + x + 100 + x + 90 = 540
Solving for x, we get:
2x + 280 = 540
2x = 540 - 280
2x = 260
x = 260/2
x = 130
Angle Q is equal to x, so that is 130
Correct answer is B
5.
When 2 parallel lines are cut by transversal, the corresponding angles are equal.
The 60 degree angle given and the angle adjacent (beside) to angle x are same. So we can say that is equal to 60 degrees as well.
This 60 degree angle and x form a straight line. The degree measure of a straight line (or a straight angle) is 180 degrees. Thus we can write:
60 + x = 180
Now, we solve for x:
60 + x = 180
x = 180 - 60
x = 120
The correct answer is C
