Question

The measures of angles of a triangle are (x +40)°, x°, (x-40)°.Find the measure of each angle.
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Answer 1

Answer:

20°

60°

100°

Step-by-step explanation:

hope it helps you

Answer 2

Given :

Measures of angles of a triangle :

• (x+40)°

• x°

• (x-40)°

To find:-

• Measure of each angle.

Solution :

As we know that in a triangle :

$\underline {\boxed{\bf Sum\:of\:angles =180^{\circ}}}$

• Substitute the values :

${:}\longrightarrow\sf (x+40)+x+(x-40)=180$

${:}\longrightarrow\sf x+40+x+x-40 =180$

${:}\longrightarrow\sf x+x+x+\cancel {40} - \cancel{40}=180$

${:}\longrightarrow\sf 3x=180$

${:}\longrightarrow\sf x=\cancel {\dfrac {180}{3}}$

${:}\longrightarrow\underline{\boxed{\bf x=60}}$

• Measure of each angle :

▪${:}\longrightarrow\tt x^{\circ}=60^{\circ}$

▪${:}\longrightarrow\tt {(x+40)}^{\circ}= 60+40=100^{\circ}$

▪${:}\longrightarrow\tt {(x-40)}^{\circ}=60-40=20^{\circ}$