MH Police Bharti · Bite-size lessons
Geometry
About 5 min · Mathematics · English
Time worked out from the lesson's 283 words at 150 words a minute, plus a minute for each question.
Geometry is a fundamental topic in the Mathematics section of the Maharashtra Police Bharti exam. Questions typically test your understanding of basic properties of lines, angles, triangles, and circles. You won't face complex proofs—instead, expect direct application of standard formulas and theorems to find missing angles, side lengths, or identify figure properties.
Key ideas
- Types of Angles: Acute (< 90°), Right (= 90°), Obtuse (> 90° but < 180°), Straight (= 180°), Reflex (> 180° but < 360°)
- Complementary & Supplementary: Two angles are complementary if sum = 90°; supplementary if sum = 180°
- Vertically Opposite Angles: When two lines intersect, opposite angles are equal
- Parallel Lines + Transversal: Creates 8 angles with special relationships — alternate angles are equal, corresponding angles are equal, co-interior angles sum to 180°
- Triangle Angle Sum: Interior angles of any triangle always sum to 180°
Watch out for
- Confusing complementary and supplementary
- Mixing up alternate and co-interior angles
- Applying Pythagoras to non-right triangles
Quick reference
- Triangle angles: Always sum to 180°
- Exterior angle of triangle: = Sum of two opposite interior angles
- Pythagoras triplets: 3-4-5, 5-12-13, 8-15-17, 7-24-25
- Parallel lines: Alternate angles equal, co-interior angles = 180°
- Angle in semicircle: Always 90°
Check yourself: 3 questions
1. Two angles are complementary. If one angle is 35 degrees, what is the measure of the other angle?
2. In a triangle ABC, angle A = 50 degrees and angle B = 60 degrees. What is the measure of angle C?
3. Two parallel lines are cut by a transversal. If one of the alternate interior angles is 65 degrees, what is the measure of the other alternate interior angle?
This lesson is cut from the topic's note, not rewritten. Fact-checked on 21 Oct 2026: an AI-assisted check of this note against cited sources; the errors it found were corrected that day. Some errors may remain. The questions are from Shishya's validated question bank.
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