Math  /  Geometry

QuestionFor 17-18-18, determine the value of x In the given diagram. { }^{\text {17-18-18, determine the value of } x \text { In the given diagram. }} 17) 18)
Mulriple Choice. \qquad 19) What type of angles are δ3\delta 3 and \Varangle .6 ? (4.) alternate interior b. alternate exterior c. same-side interior d. corresponding \qquad 20) If l1l2l_{1} \| l_{2} and m1=110m \nless 1=110^{\circ}, then m6=m \nless 6= a. 3535^{\circ} b. 5555^{\circ} c. 7070^{\circ} d. 110110^{\circ} \qquad 21) If l1l2l_{1} \| l_{2} and \mathrm{m} \Varangle 5=75^{\circ}, then \mathrm{m} \Varangle 3= a. 1515^{\circ} b. 7575^{\circ} c. 9090^{\circ} d. 105105^{\circ} \qquad 22) If \mathrm{m} \Varangle 5=55^{\circ} and \mathrm{m} \Varangle 4=35^{\circ}, then l1l_{1} and l2l_{2} \qquad - a. are perpendicular b. are parallel c. intersect at an acute angle d. intersect at an obtuse angle \qquad 23) Suppose \Varangle 1 and \Varangle 2 are alternate interior angles formed bb parallel lines nn and pp and transversal tt. Which of the following must be true? a. \Varangle 1 and \Varangle 2 are complementary b. \Varangle 1 and \Varangle 2 are congruent c. \Varangle 1 and \Varangle 2 are supplementary d. \Varangle 1 and \Varangle 2 have a common vertex \qquad 24) What is the sum of the measures of the interior angles of a hexagon? a. 180180^{\circ} b. 360360^{\circ} c. 540540^{\circ} d. 720720^{\circ} \qquad 25) If the measure of an exterior angle of a regular polygon is 1818^{\circ}, how many sides does the polygon have? a. 6 b. 8 c. 15 d. 20 26) The measure of an interior angle of a regular polygon is 140140^{\circ}. How many sides does it have? a. 10 b. 9 c. 8 d. 5 27) The measure of an interior angle of a regular polygon is four times the measure of its exterior angle. How many sides does the polygon have? a. 15 b. 12 c. 10 d. 8 28) If HJ=26\mathrm{HJ}=26, then KL=\mathrm{KL}= \qquad a. 13 b. 26 c. 30 d. 52 29) If HJ=3x1H J=3 x-1 and KL=x+1K L=x+1, then HJ=\mathrm{HJ}= \qquad . a. 3 b. 4 c. 8 d. 10 (diagram for \#28-29)

Studdy Solution
For problem 17, x=0x = 0.
For problem 18, x=15x = 15.

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