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Answer:
the upper left Quadrant is Quadrant II
Answer:
Equation: 2x + 5 + 6x + 15 = 92
Solution: x = 9
m∠A =23° m∠B = 69°
Step-by-step explanation:
measure of ∠B = 3(2x + 5) = 6x + 15
The sum of the angles = 92 = 2x + 5 + 6x + 15
92 = 8x + 20
72 = 8x
x = 9
m∠A = 2(9) + 5 = 18 + 5 = 23
m∠B = 6(9) + 15 = 54 + 15 = 69
Check: 23 + 69 = 92 and 23(3) = 69
Answer:
111°
Step-by-step explanation:
- All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.
- Ignore the line cutting between 45° and the 30° and consider it as one triangle
- Add them to get 75°
- Now you have two known angles 75° and 36°
- To get angle <em>x</em><em> </em>add 75° and 36° to get 111°
- Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.
Answer:
Assume:
(angle) RSB and angle (LSA) = D
and (line) ASR and (line) LSB is striaght then
(9x +27) + D = 180
(6x + 66) + D = 180
9x + D = 153
6x + D = 114
substitute
6x + D = 114
D = 114 - 6 x
9x + (114 - 6x) =153
3x = 39
x = 13
D = 114 - 6(13)
D=36
Step-by-step explanation: