Answer:
2. A = 30°
3. x = 12
Step-by-step explanation:
2.
The angle OPPOSITE of the angle "8x +4" is also same because they are vertical angles (makes a "cross").
The angle beside (adjacent) to the 130 degree angle is 50. Because a straight line is 180 degrees. So 130 ADDED to WHAT will make 180?
130 + WHAT = 180
WHAT = 180 - 13- = 50
Now, we have all the 3 angles of a triangle. We know sum of 3 angles in a triangle is 180, thus we can write:
3x - 6 + 50 + 8x + 4 = 180
Now, we can first, solve for x:
[tex]3x - 6 + 50 + 8x + 4 = 180\\11x+48=180\\11x=180-48\\11x=132\\x=12[/tex]
The value of "x" is 12. But we need measure of Angle A which is "3x - 6". So we plug in x = 12 in it.
A = 3x - 6
A = 3(12) - 6
A = 36 - 6
A = 30°
3.
The Square inside the triangle means the angle is a 90 degree angle. The other 2 angles are shown as algebraic expression.
We know sum of 3 angles in a triangle is 180 degrees. Thus we can write an equation in "x" and solve for x. Shown below:
[tex]2x+1+5x+5+90=180\\7x+96=180\\7x=180-96\\7x=84\\x=\frac{84}{7}\\x=12[/tex]
Thus, the value of x is 12
