Find the cosine of each acute angle
1 answer:
Answer:
cos P = 53 degrees
cos Q = 37 degrees
Step-by-step explanation:
cos P =
cos P =
cos P = 0.60
Cos-1 of 0.60 is 53.13 (round to the nearest whole number)
cos P = 53 degrees
cos Q =
cos Q =
cos Q = 0.80
Cos of 0.80 is 36.86 (round to the nearest whole number)
cos Q = 37 degrees
To check anser:
90 + 53 + 37 = 180
180 = 180
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Answer:
The value of x is .
Step-by-step explanation:
Please look at the figure attached to get more clear solution.
We have given:
FG||CB
And the line that cut the parallel line is transversal so, here BA is transversal
And alternate interior angles on transverse line are equal
So, ∠1=∠4
And ∠4=
Hence, ∠1=∠4=
And On FG the sum of angles will be
∠3+∠2+∠1=
+∠2+
=
Hence, ∠2=
Now, we know that the sum of interior angles is equal to the exterior angle:
Therefore, ∠2+∠5=∠6+∠7
On simplification we get:
Hence, the value of x is .
