A pair of parallel lines is intersected by a transversal such that ∠1 and ∠2 form a pair of interior angles on the same side of the transversal. If m∠1 = 65°, what is the measure of ∠2?
115°
Step 1: Recall the property of **co-interior angles**.
When two parallel lines are cut by a transversal, the sum of co-interior angles on the same side of the transversal is **180°**.
Step 2: Apply the formula:
\[ \angle 1 + \angle 2 = 180^\circ \] \[ 65^\circ + \angle 2 = 180^\circ \] \[ \angle 2 = 180^\circ - 65^\circ = 115^\circ \] Thus, the correct answer is
115°.
Important Questions from Co-ordinate Geometry
In which quadrant is the point (–4, –3) located?
A. I
B. II
C. III
D. IV
The area of a quadrilateral whose vertices are (3,0), (4,5), (-1,4) and (-2,-1) taken in order, is:
The coordinates of a point A, where AB is the diameter of a circle whose centre is (2, -3) and B is (1, 4) is:
The ratio between the radius of the base and the height of a cylinder is 3:4. If its volume is 38,808 cm³, then using \( \pi = \frac{22}{7} \), find the diameter of the cylinder.
The ratio between the radius of the base and the height of a cylinder is 3:4. If its volume is 38,808 cm³, then using \( \pi = \frac{22}{7} \), find the diameter of the cylinder.
