Answer:
64°
Step-by-step explanation:
<em>So supplement angles are equal to 180, so first our two angles added together will be 180:</em>
x + x = 180
<em>Now one of these angles is 6 greater than half:</em>
x + (x/2 + 6) = 180
<em>Then we will solve for x:</em>
x + (x/2 + 6) = 180
x + x/2 + 6 = 180
x + x/2 = 174
x = 174
x = 116
<em>Plug it back in:</em>
x + (x/2 + 6) = 180
/\
x/2 + 6
(116)/2 + 6
64
<em>To check:</em>
116 + 64 = 180 ✓
Answer:
-36
Step-by-step explanation:
-48+12=-36
Answer:
2
Step-by-step explanation:
Answer:
3. The missing angle is 56°
4. x = 7
Step-by-step explanation:
3.
We know sum of 3 angles in a triangle is 180°.
Looking at the top triangle, we can figure out the third angle. Let third angle be x:
85 + 35 + x = 180
120 + x = 180
x = 180 - 120
x = 60
<u>The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.</u>
So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:
60 + 64 + y = 180
124 + y = 180
y = 180 - 124
y= 56
This is the missing angle.
4.
10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.
Thus we can write the equation:
(10x-5) = (8x+9)
10x-8x=9+5
2x=14
x=14/2
x=7
So x = 7
The slope of the line passing through (1,-5) and (4,1) is 2
