The given figure shows a rectangle being rotated about its length to obtain a three-dimensional solid.
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The value of x from the given conditions is 35.
The line TV and RI intersect at E.
The measure of IVE=50° and the measure of VIE=70°.
Since, the points V, I and E makes a triangle.
Therefore, the total angle inside the triangle is 180°.
Hence,
∠IVE + ∠VIE + ∠VEI = 180°
50°+70°+ ∠VEI = 180°
∠VEI = 180°-50°-70°
∠VEI = 60°
Also the angles ∠VEI and the angle ∠RET are congruent.
Therefore, ∠VEI = ∠RET
60° = 2x-10
2x = 70
x = 70/2
x = 35.
The lines TV and RI intersect at E. If the measure of IVE=50, the measure of VIE=70 and the measure of RET=2X-10. Then the value of x = 35.
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