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 ratio the point (-3, p) divides the line segment joining the points (-5, -4) and (-2, 3)?
The area (in sq. units) of the triangle formed by the graphs of 8x + 3y = 24, 2x + 8 = y and the x-axis is:
In which quadrant both abscissa and ordinate are negative?
Find the slope of the line joining the points (3, -4) and (5, 2).
Find the value of K for which equation x – Ky = 2, 3x + 2y = 5 has unique solution.
