Answer:
x = 85
Step-by-step explanation:
To solve, first find the angle of the other missing angle in the left by subtracting the outside angle from 180:
180 - 155 = 35
Then add this and the known angle:
35 + 60 = 95
Then subtract this from 180 to get the missing angle for x:
180 - 95 = 85
The answer is 176 because 86+86=176
Answer:
27
Step-by-step explanation:
easy
Answer:
x = 15
y = 63
Step-by-step explanation:
9x - 7 + 4x - 8 = 180
13x = 195
x = 15
9x - 7 = 2y + 2
126 = 2y
y = 63
You can use the identity
cos(x)² +sin(x)² = 1
to find sin(x) from cos(x) or vice versa.
(1/4)² +sin(x)² = 1
sin(x)² = 1 - 1/16
sin(x) = ±(√15)/4
Then the tangent can be computed as the ratio of sine to cosine.
tan(x) = sin(x)/cos(x) = (±(√15)/4)/(1/4)
tan(x) = ±√15
There are two possible answers.
In the first quadrant:
sin(x) = (√15)/4
tan(x) = √15
In the fourth quadrant:
sin(x) = -(√15)/4
tan(x) = -√15
