The angles with measurements equal to 3x+3 and 2x+22 should add up to 180°. This is because the angle which measures 2x+22 and the angle that is adjacent to the angle measuring 3x+3 are supposed to be congruent. If we mathematically translate the concept above, this can be expressed as,
3x + 3 + 2x + 22 = 180
Combining like terms,
(3x + 2x) + (3 + 22) = 180
Simplifying,
5x + 25 = 180
Transpose the constants to only one side of the equation,
5x = 155
Divide the equation by 5.
x = 31
<em>ANSWER: x = 31</em>
ANSWER:
We know that angle fromed by same arc are congruent. so
∠ACB ~ ∠ADB
∠CAD ~ ∠CBD
Therefore, ΔCAF ~ ΔDBF by AA similarity. So, By CPCT
arcAC = arcBD.
In order to have an infinite number of solutions, it should be that the two equations are identical. Therefore, I believe the correct answer is option c. The value of b should be 6. Hope this answers the question.
