Answered

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if the measure of the first two angles of a triangle is 65° and 73° respectively what is the measure of the third angle?
a. 42°
b. 48°
c. 52°
d. 58°​

Sagot :

DarwinKruegeridn

Triangle

[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

Question:

If the measure of the first two angles of a triangle is 65° and 73° respectively what is the measure of the third angle?

  • [tex] \begin{gathered} \begin{gathered}\begin{gathered}\boxed{\begin{array}{l} \sf{a. \: {42}^{\circ} } \\ \sf{b. \: {48}^{\circ}} \\ \sf{c. \: {52}^{\circ}} \\ \sf{d. \: {58}^{\circ}}\end{array}}\end{gathered} \end{gathered}\end{gathered} [/tex]

Answer:

[tex] \huge \underline{\boxed{\sf \red{a. \: {42}^{\circ}}}}[/tex]

A triangle measures 180°, we have the given so we area adding all the given and minus the measure of triangle to the sum of the givens to know what is the measure

  • [tex]\tt{ {180}^{\circ} \: = \: {65}^{\circ} + {73}^{\circ} + {x}^{\circ}}[/tex]

  • [tex]\tt{ {180}^{\circ} \: - \: {138}^{\circ} = {x}^{\circ}}[/tex]

  • [tex]\tt\underline\green{ {42}^{\circ} }[/tex] [tex]\bold{= {x}^{\circ}}[/tex]

The answer is choice letter a. 42°

[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

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