Answer:
17
8/17
Step-by-step explanation:
x=
sin∠D = 
Answer:
40
Step-by-step explanation:
The sum of measure of exterior angles is equal to 360
5x-20+2x+5+x+15+x = 360 add like terms
9x = 360 divide both sides by 9
x = 40
Answer:
∠ O = 61°, ∠ N = 119°
Step-by-step explanation:
In a parallelogram
Consecutive angles are supplementary
Opposite angles are congruent, thus
x + 2x - 3 = 180
3x - 3 = 180 ( add 3 to both sides )
3x = 183 ( divide both sides by 3 )
x = 61°
Thus
∠ O = ∠ M = x = 61°
∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°
Answer:

Step-by-step explanation:
Given the diagram, we can see that ∠PQR and ∠RQS are complementary angles.
*Two angles with measures that add up to 90° are known as Complementary angles.*
Therefore, m∠PQR+m∠RQS=90°


Subtract 48 from both sides:


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