Answer:
The measure of angle 4 is 48 degrees.
Step-by-step explanation:
When two angles <u>forming an X</u>
- shape share a common vertex and
- oppose each other
the angle has the same value.
We call this type of angles opposing angles or vertical angles.
Answer: t=20°
Step-by-step explanation:
1. By definition, the sum of the interior angles is 180 degrees.
2. Keeping the information above on mind, you can write the following expression:
3. Now, you must solve for 
as following:
4. Therefore, the value of is 20°
The bottom left, lies never -6 on x axis and 20 on y axis
The equation for cosine is <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse
</span></span></span>The inside trig function is <span><span>arccos<span>(<span>3/5</span>)</span></span></span>, which means <span><span><span>cos<span>(x)</span></span>=<span>3/5</span></span></span>. Comparing <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse</span></span></span> with <span><span><span>cos<span>(x)</span></span>=<span>3/5
</span></span></span>
Find <span><span>Adjacent=3</span></span> and <span><span>Hypotenuse=5.
</span></span>Then, using the Pythagorean theorem, find <span><span>Opposite=?
</span></span>a² = c² - b²
a² = 5² - 3² = 25 - 9 = 16
a = √16 = 4
<span><span>Adjacent=3</span></span><span><span>Opposite=4</span></span><span><span>Hypotenuse=5
</span></span><span>
Plug in the value for sin(x) = opposite/hypotenuse
sin(x) = 4/5 </span>
