In triangle ABC, ∠A – ∠B = 20 degree and ∠B – ∠C = 180 degree. Find the measure of each angle of the triangle

A) ∠A = 80 degrees
∠B = 60 degrees
∠C = 40 degrees

B) ∠A = 70 degrees
∠B = 50 degrees
∠C = 40 degrees

C) ∠A = 60 degrees
∠B = 70 degrees
∠C = 30 degrees

D) ∠A = 70 degrees
∠B = 60 degrees
∠C = 20 degrees

In triangle ABC, AD is the median drawn from A to BC, with D being the midpoint of BC. If the area of triangle ABD is 24 square units and the area of triangle ADC is 18 square units, what is the area of triangle ABC?

A) 40 sq.units

B) 42 sq.units

C) 44 sq.units

D) 24 sq.units

In the figure above, point 0 is the center of the circle and segments JL and KL are tangent to the circle at points J and K, respectively. If the radius of the circle is 5, what is the length of arc JK(shown in bold)?

A) 12π

B) 18π

C) 6π

D) 5π

In a circle with center 0, the central angle COD has a measure of \$7π/8\$ radians. The length of minor arc COD is what fraction of the circumference of the circle?

A) \$5/16\$

B) \$7/4\$

C) \$16/7\$

D) \$7/16\$

What is the perimeter of triangle ABD?

A) \$12\sqrt3\$

B) \$4\sqrt2\$

C) \$6\sqrt2\$

D) \$12\sqrt2\$

The value of k for which the lines 5x + 6y + a = 0 and 9x + ky + a = 0 represent family of perpendicular lines is

A) \$15/2\$

B) \$-17/2\$

C) \$-15/2\$

D) \$-11/2\$

The slope of a line passing through the points (4,9) and (k,5) is -1/2 . Find the value of k.

A) 15

B) 12

C) 16

D) 14

Find the slope of a normal line making inclination of 30° with the positive direction of x axis.

A) \$-\sqrt3\$

B) \$-1/\sqrt3\$

C) \$-\sqrt2\$

D) \$\sqrt3\$

In the triangle, sin x = 0.8 and cos x = 0.6. What is the area of the triangle?

A) 45.65

B) 34.56

C) 55.23

D) 44

The triangle formed by the lines x + 2y = 1, 3x + 2y – 4 = 0 and x – y + 1 = 0 lies in which quardinate.

A) \$3^(rd)\$ quardinate

B) \$1^(st)\$ quardinate

C) \$2^(nd)\$ quardinate

D) \$4^(th)\$quardinate