Mathematics

If the angles of a triangle are in the ratio 2:3:4, find the three angles.


ANSWER

$$40^o, 60^o, 80^o$$


SOLUTION
The angles of a triangle are in the ratio 2:3:4 
Let $$x:y:z=2:3:4$$
Then $$x= 2t; y= 3t; z= 4t$$

Sum of all angles of a triangles is $$ 180^0$$.
$$ 2t + 3t + 4t = 180^0 $$
$$ 9t = 180^0 $$
$$  t  = 20^0 $$
$$ x= 2\times 20^0= 40^0; y= 3\times 20^0= 60^0; z = 4\times 20^0= 80^0 $$
View Answers

You're just one step away

Create your Digital Resume For FREE on your name's sub domain "yourname.wcard.io". Register Here!


Single Correct Medium Published on 09th 09, 2020
Next Question
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86
Enroll Now For FREE

Realted Questions

Q1 Subjective Medium
In figure 6, what value of $$Y$$ will make $$POQ$$ a straight line,

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q2 Subjective Medium
In the adjoining figure, name:
Four pairs of intersecting lines

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q3 Single Correct Medium
In the given figure, $$DE\parallel BC$$. If $$AD=xcm, DB=(x-2)cm, AE=(x+2)cm$$ and $$EC=(x-1)cm$$, find the value of $$x$$.
  • A. $$x=10$$
  • B. $$x=9$$
  • C. $$x=6$$
  • D. $$x=4$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q4 Subjective Medium
Find the angles in a straight line

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q5 Subjective Medium
Read the following two statements which are taken as axioms:
(i) If two lines intersect each other, then the vertically opposite angles are not equal.
(ii) If a ray stands on a line, then the sum of two adjacent angles so formed is equal to $$180^0$$.
Is this system of axioms consistent? Justify your answer.

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer