Q. 65.0( 2 Votes )

# Let l_{1} || l_{2} and m_{1} is a transversal. If ∠F = 65°, find the measure of each of the remaining angles.

Answer :

Given: ∠F = 65°

∠B = ∠F = 65° {Corresponding angle}

∠H = ∠F = 65° {vertically opposite angle}

∠D = ∠B = 65° {vertically opposite angle}

Also, ∠C + ∠F = 180° {co-interior angles are supplementary}

⇒ ∠C = 180° - 65°

⇒ ∠C = 115°

∠E = ∠C = 115° {Alternate interior angle}

∠G = ∠C = 115° {Corresponding angle}

∠A = ∠G = 115° {Alternate exterior angle}

Rate this question :

The complement of an angle exceeds the angle by 60°. Then the angle is equal to

Tamilnadu Board Math Term-IIn the given figure at right, side BC of ΔABC is produced to D. Find ∠A and ∠C.

Tamilnadu Board Math Term-I

Find the measure of an angle, if six times of its complement is 12° less than twice of its supplement.

Tamilnadu Board Math Term-IIn ΔABC, ∠A + ∠B = 70° and ∠B + ∠C = 135°. Find the measure of each angle of the triangle.

Tamilnadu Board Math Term-IIn the given figure, OP bisect ∠ BOC and OQ bisect ∠ AOC. Then ∠ POQ is equal to

Tamilnadu Board Math Term-I

If an angle is equal to one third of its supplement, its measure is equal to

Tamilnadu Board Math Term-IThe angles of a triangle are in the ratio of 1:2:3. Find the measure of each angle of the triangle.

Tamilnadu Board Math Term-IFor what value of x will l_{1} and l_{2} be parallel lines.

i.

ii.

Tamilnadu Board Math Term-ILet l_{1} || l_{2} and m_{1} is a transversal. If ∠F = 65°, find the measure of each of the remaining angles.

Tamilnadu Board Math Term-I

In the given figure, ∠ B:∠ C = 2:3, find ∠ B

Tamilnadu Board Math Term-I