An isosceles triangle has two congruent angles which each measure 35 what is the measure of the third angle in the triangle

Mathematics

1 answer:

Lemur [1.5K]2 years ago

8 0

Answer:

110

Step-by-step explanation:

35+35=70 180-70=110

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$\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }$

$\large\underline{ \boxed{ \sf{✰\: Concept }}}$

➣ Given two paris are linear pairs
➣ We know that sum of linear pairs is equal to 180⁰
➣ Linear :- Having the form of a line; straight or roughly straight; following a direct course.

$\large\underline{ \boxed{ \sf{✛\: Assumptions\:✛ }}}$

➣ let given two angles be p and q that is
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➣ angle q is 3x-8
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$\rm { \pink➾ \:( 3x - 4) + (3x - 8) = 180} \\ \rm { \pink➾}arranging \: and \: solving \: like \: terms \\ \rm { \pink➾ \: 3x + 3x - 4 - 8 = 180} \\ \rm { \pink➾ \: 6x - 12 = 180} \\ \rm { \pink➾6x = 180 + 12}$