Question

two angles of a triangle are of measures 75 degree and 35 degree find the measure of the third angle​

Answer 1

Given :

• Two angles of a triangle are 75° and 35°.

To Find :

• Measure of third angle.

Solution :

$\longmapsto\tt{\angle{A}=75\degree}$

$\longmapsto\tt{\angle{B}=35\degree}$

$\longmapsto\tt{\angle{C}=x}$

Now ,

As we know that Sum of all the angles of a triangle is 180°.So ,

$\longmapsto\tt{\angle{A}+\angle{B}+\angle{C}=180\degree}$

$\longmapsto\tt{75\degree+35\degree+x=180\degree}$

$\longmapsto\tt{110\degree+x=180\degree}$

$\longmapsto\tt{x=180\degree-110\degree}$

$\longmapsto\tt\bf{x=70\degree}$

So , The measure of the third angle is 70°...

Answer 2

$\bold{\huge{\fbox{\color{blue}{SoLuTiOn:-}}}}$

$\huge{ \pink{ \bold{ \underline{ \underline{Given:-}}}}}$

Two angles of triangle are 75° and 35°

$\huge{ \orange{ \bold{ \underline{ \underline{Find:-}}}}}$

Measure of Third angle

$\huge{ \purple{ \bold{ \underline{ \underline{Sol:-}}}}}$

$Let\:the\:third\:angle\:be\:x$

$Two\: angles\: of \:a\:triangle\:= \:75°\:,35°$

$As\:we\:know\:that,$

Sum of angles of triangle = 180°

$75° + 35° + x = 180°......(1)$

$110° + x = 180° \\ x = 180° - 110° \\ x = 70°$

$Therefore, \: third \: angle \: = 70°$

$\huge{ \red{ \bold{ \underline{ \underline{Check:-}}}}}$

Put x° = 70° in the (1)

$75° + 35° + 70° = 180° \\ 110° + 70° = 180° \\ 180° = 180° \\ L.H.S = R.H.S$

$\bold{\fbox{\color{green}{Hope\:its\:helpful\:uh\:♡♡}}}$