Lines And Angle...

In the given figure, find the value of ∠GOH if ∠BOC is 10° more than ∠AOH and ∠COD is 10° more than ∠BOC.

If the second angle of a triangle is 30° more than the first angle and the third angle is 30° less than the second angle, then what kind of triangle is this?

In the given figure, MN ∥ PQ. Find the value of DCQ.

In the given figure, AB ∥ CD ∥ EF, ∠1 = ∠2 + 50° and PQRS is a rhombus. Find the measure of ∠4.

In the given figure, a = b + 25° and ∠COE = 90°. Find the measure of ∠BOC.

In the given figure, PQ ∥ RS ∥ TU, and MN and KL are transversal lines. Also, ∠CED = ∠DEF and ∠EDF = 64°. What is the value of x?

The measure of an angle is 45° less than the double of its supplementary angle. What is the measure of the angle?

In the given figure, if AB ∥ CD and OHF = 30°, then what is the value of x?

In the given figure, ∠ZWX = x, ∠WXZ = y and ∠XOY = z. If y is 40° less than x and ∠ZWO is one-third of x, find the values of x, y and z, respectively.

In the given figure, if TR ∥ PQ, then what is the value of x?

In the given figure, if OM ∥ LN, then the value of ∠NMO is

In the given figure, if ∠AOC = 90°, find the value of 2∠COD + ∠JOD.

In the given figure, ST ∥ UV. Find the value of ∠SPO.

The measure of an angle is 6° less than one-third of its complementary angle. What is the value of the complementary angle?

In the given figure, DE ∥ FG ∥ HI. What is the value of APQ?

In the given figure, AB || CD. If ∠AEO = 130° and ∠FGD = 105°, then what will be the measure of ∠EOF?

If the ratio of the measure of an angle to that of its complementary angle is 8 : 10, then what is the measure of the complementary angle?

If DE || FG , MB||CL and ∠BCG = 117°, then what is the difference between the values of (z + w) and (x + y)?

In the given figure, if AB || CD, and LM and FH are transversals, find the value of ∠LSB + 4a + 5b.

In the given figure, what is the measure of ∠WOV?

State 'T' for true and 'F' for false for the following statement.

(i) The sum of two adjacent angles is 180° if a ray stands on a line.
(ii) If the sum of two adjacent angles is 180°, then the non-common arms of the angles form a line.
(iii) Two lines parallel to the same line are not parallel to each other.

Fill in the blanks.

(a) An exterior angle of a triangle is ________ the sum of opposite interior angles.
(b) Interior angles on the same side of the transversal are called _______ angles.
(c) The angle between the bisectors of two right angles on a straight line sharing an arm measures ____.

Which of the following statements is INCORRECT?

In the given figure, ∠QMN = 172° and ∠PMN = 45°. Find the measures of ∠LMO and ∠OMP, respectively.

Match the following columns according to the figure given below: