Chapter 3, Problem 15CR

To determine

To calculate: The measures of $\angle 1$ , $\angle 2$ and $\angle 3$

Answer to Problem 15CR

The measures of $\angle 1$ , $\angle 2$ and $\angle 3$ are $72$ , $60$ and $48$ respectively.

Explanation of Solution

Given information: $\angle 1$ , $\angle 2$ and $\angle 3$ are in the ratio of $6:5:4$ is provided in the question which will help to find the solution.

Formula used: Here, we are using linear angle theorem.

Calculation: Let the angle be x,

Now, according to question

  $6x+5x+4x={180}^{\circ }$ (Linear angle)

  →$15x={180}^{\circ }$

  →$x={12}^{\circ }$

Now, putting the value of x in $6x$ , $5x$ and $4x$

  →$6x$ = $6\times 12=72$

  →$5x$ = $5\times 12=60$

  →$4x$ = $4\times 12=48$

Conclusion: Hence, the measures of $\angle 1$ , $\angle 2$ and $\angle 3$ are $72$ , $60$ and $48$ respectively.