Question

the measures of two angles of a triangle are 50 degrees and 70 degrees. find the measure of the third angel of the
triangle​

Answer 1

Answer :

• The measure of third angle of the triangle is 60⁰

Given :

• The measures of two angles of a triangle are 50 degrees and 70 degrees.

To find :

• The measure of the third angle of the triangle

Solution :

• Let the third angle be x

Given, the measures of two angles of a triangle are 50 degrees and 70 degrees so,

• First angle = 50⁰
• Second angle = 70⁰
• Third angle = x

We know that

• Sum of the triangle is 180⁰

Substituting the value :

⤍ 50⁰ + 70⁰ + x = 180⁰

⤍ 120⁰ + x = 180⁰

⤍ x = 180⁰ - 120⁰

⤍ x = 60⁰

Hence

The measure of third angle of the triangle is 60⁰

Verification :

⤍ x + 50⁰ + 70⁰ = 180⁰

⤍ 60⁰ + 50⁰ + 70⁰ = 180⁰

⤍ 60⁰ + 120⁰ = 180⁰

⤍ 180⁰ = 180⁰

Hence , Verified

Answer 2

$\star \; {\underline{\boxed{\color{red}{\pmb{\sf{ \; Given \; : }}}}}}$

• First Angle = 50⁰

• Second Angle = 70⁰

• Third Angle = x ( Not Given )

$\star \; {\underline{\boxed{\pink{\pmb{\sf{ \; To \; Find \; :- }}}}}}$

• The Measure Of The Third Angle

$\star \; {\underline{\boxed{\purple{\pmb{\sf{ \; Solution \; :- }}}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

Finding The Measure Of 3rd Angle :

• Let The Unknown Number Be x

• The Sum Of The Triangle Is 180°

$\longmapsto \sf \: x + 120 = 180$

$\\ \\ \longmapsto \sf \: x + 120 = 180$

$\\ \\ \longmapsto \sf \: x = 180 - 120$

$\\ \\ \longmapsto \sf \: x = 60 \degree$

$\\ \qquad{\rule{150pt}{1pt}}$

$\bigstar$ Therefore :

❛❛ The Third Angle Is 60° ❜❜

$\\ {\underline{\rule{300pt}{9pt}}}$

$\star \; {\underline{\boxed{\purple{\pmb{\sf{ \; Verification \; :- }}}}}}$

$\longmapsto \sf x + 50⁰ + 70⁰ = 180⁰$

$\\ \\ \longmapsto \sf \: 60⁰ + 50⁰ + 70⁰ = 180⁰$

$\\ \\ \longmapsto \sf \: 60⁰ + 120⁰ = 180⁰$

$\\ \\ \longmapsto \sf \: 180⁰ = 180⁰$

Hence , Verified

$\begin{gathered} \\ {\pink{\underline{\rule{50pt}{9pt}}}}{\red{\underline{\rule{50pt}{9pt}}}}{\purple{\underline{\rule{50pt}{9pt}}}}{\color{cyan}{\underline{\rule{50pt}{9pt}}}} \end{gathered}$