Answer:
7
Step-by-step explanation:
first and foremost the two consecutive numbers will be x and x + 1, which will equal to 2x + 1.
2x + 1 > 15
2x + 1 = 15
Collect like terms
2x = 15 - 1
2x = 14
Divide both sides by 2
x = 7
Answer:
the second one
Step-by-step explanation:
Answer:
Step-by-step explanation:
number of side = n =7
Sum of all the angles of given polygon = (n -2)*180 = 5 *180 = 900
x + 140 +133 +145 + 117 + 119 + 125 = 900
x + 779 = 900
x = 900 - 779
x = 121
Answer:
A and C
Step-by-step explanation:
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
So <7 and <9 are adjacent to <8.
[If there's any mistake, please inform me]
Measure of the angle m ∠ RQS = 58 ° for the given circle with arc RS subtending m ∠RPS=14 x + 46 ° at the center P and m ∠ RQS = 3 x + 43 ° at Q, on the circumference.
As given in the question,
Measure of the angle is given by :
m ∠ RPS=14 x + 46 °
m ∠ RQS=3 x + 43 °
m ∠ RPS = twice m ∠RQS (angle subtended at center of the circle)
14 x +46 =2(3 x + 43)
⇒ 14x + 46 = 6x +86
⇒ 14x-6x=86-46
⇒8x=40
⇒ x=5°
m ∠ RQS = (3 x + 43) °
=[3(5) + 43 ]°
= 58°
Therefore, measure of the angle in the given circle m ∠RQS is equal to the 58 °
Learn more about angle here
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