if arc KJ=13x-10 and arc JI=7x-10 then find the m∠KIJ the answer is not 37-
To find the measure of angle KIJ, we first need to find the values of x that correspond to the measures of arc KJ and arc JI.
Given:
arc KJ = 13x - 10
arc JI = 7x - 10
Since the sum of the measures of arc KJ, arc JI, and angle KIJ is 360° (since they form a triangle), we can write the equation as follows:
(13x - 10) + (7x - 10) + m∠KIJ = 360
Combining like terms, we get:
20x - 20 + m∠KIJ = 360
m∠KIJ = 360 - 20x + 20
To find the measure of angle KIJ, we need to substitute x back into the equation. Since the answer cannot be 37, we can eliminate the possibility that x = 13 (since it will result in 37 for the measure of angle KIJ).
Let's try x = 14:
m∠KIJ = 360 - 20(14) + 20
m∠KIJ = 360 - 280 + 20
m∠KIJ = 100
Therefore, the measure of angle KIJ is 100°.