Challenger App

No.1 PSC Learning App

1M+ Downloads

ചിത്രത്തിൽ ABCD ഒരു സാമാന്തരികം ആണ്. <A=110° ആയാൽ <B യുടെ അളവ് എന്ത് ?

WhatsApp Image 2025-02-01 at 13.22.08.jpeg

A70°

B110°

C55°

D90°

Answer:

A. 70°

Read Explanation:

Since ABCD is a parallelogram:

Properties of Parallelogram

  • Opposite angles are equal.

  • Adjacent angles are supplementary (add up to 180°).

Given ∠A = 110°.

Finding ∠B

Since ∠A and ∠B are adjacent angles, they are supplementary:

∠A + ∠B = 180°

110° + ∠B = 180°

∠B = 180° - 110°

∠B = 70°

So, the measure of ∠B is 70°.


Related Questions:

In ΔABC, AB = 20 cm, BC = 16 cm and AC = 12 cm and the radius of incircle is 4 cm. Find the area of ΔABC.
The area of the triangle whose vertices are given by the coordinates (1, 2), (-4, -3) and (4, 1) is:
If two parallel lines are intersected by a transversal, then which of the options below is necessarily true?
Find the area of a square inscribed in a circle of radius 8 cm.
A, B and C are the three points on a circle such that ∠ABC = 35° and ∠BAC = 85°. What is the angle (in degrees) subtended by arc AB at the centre of the circle?