Answer:
cos W = 7/15
Step-by-step explanation:
Mathematically the cosine of an angle is the ratio of the adjacent to the hypotenuse side
From the diagram given, 14 is adjacent to vertex w and 30 faces the right angle which makes it the hypotenuse
So, we have it that;
cos W = 14/30
cos W = 7/15
The two lines with arrows are parallel, which means angles A and B are supplementary.
So we have
A + B = 180º
(6<em>x</em> - 35)º + (3<em>x</em> + 53)º = 180º
(9<em>x</em> + 18)º = 180º
(9<em>x</em>)º = 162º
<em>x</em> = 18
This means angle A has measure
A = (6<em>x</em> - 35)º = 73º
Answer:

Step-by-step explanation: