Lines And Angle...

In the given figure, find the value of ∠UOP if y is one-third of z.

The difference between the first and second angles of a triangle is 30°. The first angle measures 20° less than the sum of the other two. What kind of triangle is this?

In the given figure, MN∥PR. Find the measure of ∠DOB if ∠BCO = ∠OCA, ∠BAM = 115° and ∠CBR = 60°.

In the given figure, PQ ∥ RS, RS ∥ TU, and lines m and n are parallel. Find the value of angle d if the ratio of angle b to angle c is 2 : 3.

Find the supplementary angle of the angle whose measure is 15^o more than the double of its supplementary angle.

What is the value of p in the given figure if AB || DE, ∠ABC = 120° and ∠CDE = 140°?

In the figure, if || m, p || q, DAC = 30° and ABC = 70°, then what is the measure of ACD?

In the following figure, ∠OPQ = 30°, ∠PQO = 60°, and ∠QOS = 35°. Find the double of ∠TUO if line RS and line TU are parallel to each other.

Find the value of x.

In the figure, if RS and PQ are the bisectors of ASP and SPD respectively and AB || CD, then which of the following is false?

In the figure below, find the value of x and y.

Find the value of in the given triangle.

In the given figure, find EBD.

In the figure, AB II CD and AC II BE. What is the measure of DCF?

Find the value of x if 78° and x° are supplementary angles.

In the following figure, line p is parallel to line m. Find FAD.

In the given figure, two straight lines, LM and NP intersect each other at O. If NOT = 65°, find the value of angles a, b, and c.

In the given figure, if AO is the bisector of DAB and AD || BC, then what is the measure of AOB?

In the given figure, sides QP and RQ are produced to points S and T respectively. If PQT = 135° and RPS = 110°, then find the measure of angle x.

Which of the following statements is true?

In the given figure, TOR = 40° and UOQ = 35°. Find the measures of QOR and POS.

Mark True or False for following statements

(1) Parallel lines are those lines that are equidistant from each other and never intersect.
(2) If the sum of two angles is 90°, then the two angles are called supplementary angles.
(3) When there is a right angle between two lines, the lines are said to be perpendicular to each other.

Which of the following statements is/are incorrect?

(A) When two lines intersect, they create four angles and form two pairs of opposite angles.
(B) Alternate exterior angles are equal when a transversal intersects two parallel lines.
(C) When two lines intersect, the angles formed opposite to each other at the point of intersection (vertex) are called vertically opposite angles.
(D) Angles that have a common arm and a common vertex are called interior angles.

Fill in the blanks.

(A) If one angle of a linear pair is acute, then its other angle will be __P___.
(B) If a transversal intersects a pair of lines in such a way that a pair of interior angles on the same side of the transversal is 180°, then the lines are ____Q____.
(C) When two straight lines intersect, then adjacent angles are ____R____ .

AB and CD are two parallel lines. A transversal "t" intersects AB at P and CD at Q.

Match the following:

( P) Vertically opposite angles	(i) 1 =5
(Q) Linear pair of angles	(ii) 2 = 6
(R) Corresponding angles	(iii) 5 + 2 = 180°