Question

In a Right Angled Triangle ABC where angle A= 90° and AB=AC. What is measure of angle B ? OR If two adjacent angles on a straight line are in the ratio 1 : 3, find the measure of Smaller angle. *

Answer 1

Answer:

1. 45

2.45

Step-by-step explanation:

1. Given:

AB = AC

Therefore, ∠B=∠C (∠s opposite to equal sides are also equal)

$A+B+C=180\\90 + 2B = 180\\2B = 90\\B=45$

2. As angles are on a straight line, they are a linear pair.

let the common ratio be x

x:3x

$3x+x=180\\4x=180\\x=45$