Answer:
19 is the answer
Step-by-step explanation:
hope its correct
I can't tell what it wants to say in the first part, but I'll do A and B for you.
Because all triangle angles add to 180 degrees, you know that angle PMU is 180-21+35 which is 124.
So a) is 124 degrees
And for b) you take the straight line and you know its 180 degrees. Knowing that angle UMP adds up to 180 degrees when added to PMU which is 124, then you subtract 180 - 124
So b) is 56 degrees.
Hope this helps
Also I can help you with the first 4 if I can see the question.
Answer:
m∠QPR = 35° m∠QPM =40° m∠PRS = 30°
Step-by-step explanation:
ΔPRQ is a right triangle with right angle at R. So m∠QPR = 90 - 55 = 35
ΔQPM is a right triangle with right angle at M. So m∠QPM = 90 - 40 = 40
Arc RQ = 2(35) = 70 and arc SR = 2(25) = 50.
So arc PS = 180 - (arc RQ + arc SR) = 180 - (70 + 50) = 180 - 120 = 60
Now arc PS is the intercepted arc for ∠PRS.
Therefore, m∠PRS = 60/2 = 30
I used the fact that an inscribed angle has a measure 1/2 the measure of the intercepted arc several times. Also, I used the fact that the acute angles of a right triangle are complementary. And, finally I used the fact that an inscribed angle in a semicircle is a right angle.
I hope this helped.
Answer:
D
Step-by-step explanation:
because 4x4=16..........