Question

In
∆ABE, if 4 angle A = 3 angleB =12 angle C
find all its angle.​

Answer 1

Answer:

Given parameters

In ΔABC,

3∠A = 4∠B= 6∠C

Let us consider x = 3∠A = 4∠B = 6∠C

x = 3∠A

∠A = x/3………………….(1)

x = 4∠B

∠B = x/4…………………..(2)

x = 6∠C

∠C = x/6…………………….(3)

By using angle sum property

∠A + ∠B + ∠C = 1800

Put the values of ∠A, ∠B, ∠C

x/3 + x/4 + x/6 = 1800

Let us find the L.C.M of 3,4,6 i.e 12

(4x + 3x + 2x)/12 = 1800

9x = 2160

x = 2400

Substitute the value of x in eqaution (1), (2) and (3)

∠A= x/3

∠A= 240/3 = 80°

∠B= x/4

∠B= 240/4= 60°

∠C= x/6

∠C= 240/6 = 40°

Was this answer helpful?

4.5 (22)

Upvote (29)

Related Questions & Answers

Acids When Dissolved In Water Produce How Are Fats Digested In Our Bodies Where Does This Process Take Place

How Does The Environment Affect Human Health Name The Gas Evolved When Hcl Acid Is Added To Zinc Metal

What Is The Use Of Best Fit Line Name The Book In Which Charles Darwin Describes The Idea Of Evolution

What Is Forward Bias Which Element Have Highest Ionisation Potential

In Dna The Complementary Bases Are Two Chambered Heart Is Present In

Relevant Subjects