Vertical angles are congruent, so their measures are equal.
Set the angle measures equal and solve for x.

2x + 2 = 3x - 52

-x = -54

x = 54

___________
| |
| 54 |
|__________|

The answer is inside a box.

3 0

3 years ago

Convert the angle 0 = 70° to radians.

xxMikexx [17]

Answer:

7/18π radians Exact answer

1.22 radians Decimal approximation

Step-by-step explanation:

π radians = 180º

70 * π/180 = 7/18π

7/18 * 3.14159 ≈ 1.22

3 0

3 years ago

If sine of the quantity x plus y end quantity equals one half times sine of x plus radical 3 over 2 times cosine of x. What is t

miskamm [114]

The value of y from the given trig expression is pi/3 rad

<h3>Trigonometry identity</h3>

These identities are expressed in terms of sine, cosine and tangent

Given the expression

$sin(x+y)=\frac{1}{2}sinx+\frac{\sqrt{3}}{2} cosx$

Expand sin(x+y)

sin(x+y) = sinxcosy + cosxsiny

Compare both equations

cosy = 1/2

y = arccos(1/2)

y = 60 degrees

y = pi/3 rad

Hence the value of y from the given trig expression is pi/3 rad

Learn more on trig function here: brainly.com/question/24349828

#SPJ1

8 0

2 years ago