Question

find the value of x angle A=4x, angle B=x, angle C=75​

Answer 1

Answer:

A = 84°

B = 21°

C = 75°

Step-by-step explanation:

Given :

Sum of all the angles of triangle = 180°

A = 4x

B = x

C = 75°

To find :

The value of x or the angles A and B

Taken :

To find the value of x use this formula -:

$\boxed{\bf{A+B+C={180}^{\circ}}}$

After finding the value of x to find the angle A multiply it with 4 .

Solution :

$:\Rightarrow\bf{4x+x+{75}^{\circ}={180}^{\circ}}$

$:\Rightarrow\bf{5x+{75}^{\circ}={180}^{\circ}}$

$:\Rightarrow\bf{5x={180}^{\circ}-{75}^{\circ}}$

$:\Rightarrow\bf{5x={105}^{\circ}}$

$:\Rightarrow\bf{x=\cancel{\dfrac{{105}^{\circ}}{5}}}$

$:\Rightarrow\bf{x={21}^{\circ}}$

So , the angle B or the value of x is 21° .

Angle A -:

$:\Rightarrow\bf{{21}^{\circ}\times4}$

$:\Rightarrow\bf{{84}^{\circ}}$

So , the value of x is 21° . And angle A is 84° .