What are the values of x, y, and z?
1 answer:
<h3><u>To find value of x</u></h3>
<u>Formula applied:</u>
Exterior angle=Sum of interior angles
Answer:
- x=66⁰+45⁰
- x=<u>1</u><u>1</u><u>1</u><u>⁰</u><u>✔</u>
<u>Formula applied:</u>
Exterior angle=Sum of interior angles
Answer:
- 119⁰=43⁰+z⁰
- 119⁰-43⁰=z⁰
- z⁰=<u>76</u><u>⁰</u><u>✔</u>
- ∠1+66⁰=180⁰(L.P)
- ∠1=180⁰-66⁰
- ∠1=114⁰
<u>Formula</u><u> </u><u>used:</u>
Sum of angles of a triangle =180⁰
Answer:
- ∠ 1+30⁰+y⁰=180⁰
- 114⁰+30⁰+y⁰=180⁰
- y⁰=180⁰-144⁰
- y⁰=<u>36⁰</u><u>✔</u>
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Answer:
Step-by-step explanation:
If you plot this angle in the coordinate plane, you will find yourself in the fourth quadrant with a referencew angle of 30. Constructing the triangle from that reference angle and using the Pythagorean triple for a 30-60-90 triangle, you get that the side adjacent to the reference angle is √3, the side opposite the reference angle is a -1, and the hypotenuse (which is NEVER negative!) is 2. The x and y coordinates of the terminal point result from the cos (related to the x coordinate) and the sin (related to the y coordinate). The cos of 30:
and the sin of 30:
so the coordinates of the terminal point on that angle are
You could also just go to your unit circle, find the angle 330 and look at the coordiantes they give you there for (cos, sin). But I'm a high school math teacher so I wanted you to know how to find this outside of the unti circle. Cuz what if you lost it!?