Question

The angles of a triangle are (m+10)⁰,(m+40)⁰ and (2m-30)⁰. What is value of m *

40

50

60

70

​

Answer 1

Answer:

Analysis→

Here we're given that the angles of a triangle are (m+10°),(m+40°) and (2m-30)°. And we've to find the value of m. And according to Angle sum property of a triangle, sum of all the three interior angles is equal to 180°.

$\:\hookrightarrow\rm Angle\:1=(m+10°) \\ \hookrightarrow\rm Angle\:2=(m+40°) \\ \:\:\hookrightarrow\rm Angle\:3=(2m-30°)$

Given→

• Angle 1=(m+10°)
• Angle 2=(m+40°)
• Angle 3=(2m-30°)

To Find→

The value of m.

Answer→

$\large{\underline{\boxed{\leadsto{\rm{Angle(1+2+3)=180°}}}}}$

$\implies\rm(m+10°)+(m+40°) \\ \rm+(2m-30°)=180°$

$\implies\rm{4m+50°-30°=180°}$

$\implies\rm{4m+20°=180°}$

$\implies\rm{4m=160°}$

$\implies\rm{m=\dfrac{160°}{4}}$

$\implies\rm{m=\dfrac{\cancel{160°}}{\cancel{4}}}$

$\implies\rm{m=40°}$

${\boxed{\boxed{\implies{\bf{m=40°\checkmark}}}}}$

☞ Hence the value of m is 40° which is the required answer.

Know More→

Angle 1:- (m+10°)=(40°+10°)=50° $\large\checkmark$

Angle 2:- (m+40°)=

(40°+40°)=80° $\large\checkmark$

Angel 3:- (2m-30°)=2(40°)-30° =80°-30°=50° $\large\checkmark$

Sum of all angles:- 50°+50°+80°=100°+80°=180° $\large\checkmark$

HOPE IT HELPS.

Answer 2

Step-by-step explanation:

Here we're given that the angles of a triangle are (m+10°),(m+40°) and (2m-30)°. And we've to find the value of m. And according to Angle sum property of a triangle, sum of all the three interior angles is equal to 180°.

\begin{gathered}\:\hookrightarrow\rm Angle\:1=(m+10°) \\ \hookrightarrow\rm Angle\:2=(m+40°) \\ \:\:\hookrightarrow\rm Angle\:3=(2m-30°)\end{gathered}

↪Angle1=(m+10°)

↪Angle2=(m+40°)

↪Angle3=(2m−30°)

Given→

Angle 1=(m+10°)

Angle 2=(m+40°)

Angle 3=(2m-30°)

To Find→

The value of m.

Answer→

\large{\underline{\boxed{\leadsto{\rm{Angle(1+2+3)=180°}}}}}

⇝Angle(1+2+3)=180°

\begin{gathered}\implies\rm(m+10°)+(m+40°) \\ \rm+(2m-30°)=180°\end{gathered}

⟹(m+10°)+(m+40°)

+(2m−30°)=180°

\implies\rm{4m+50°-30°=180°}⟹4m+50°−30°=180°

\implies\rm{4m+20°=180°}⟹4m+20°=180°

\implies\rm{4m=160°}⟹4m=160°

\implies\rm{m=\dfrac{160°}{4}}⟹m=

4

160°

\implies\rm{m=\dfrac{\cancel{160°}}{\cancel{4}}}⟹m=

4

160°

\implies\rm{m=40°}⟹m=40°

{\boxed{\boxed{\implies{\bf{m=40°\checkmark}}}}}

⟹m=40°✓

☞ Hence the value of m is 40° which is the required answer.

Know More→

Angle 1:- (m+10°)=(40°+10°)=50° \large\checkmark✓

Angle 2:- (m+40°)=

(40°+40°)=80° \large\checkmark✓

Angel 3:- (2m-30°)=2(40°)-30° =80°-30°=50° \large\checkmark✓

Sum of all angles:- 50°+50°+80°=100°+80°=180° \large\checkmark✓

HOPE IT HELPS.