Question

two supplementary angles differ by 34 degree find the angle​

Answer 1

Answer:

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Answer 2

${\fbox{\fbox{\fbox{\huge\sf\red{QuesTiOn}}}}}$

Two supplementary angles differ by 34 degree Find the Angle.

${\fbox{\fbox{\fbox{\huge\sf\green{AnsWeR}}}}}$

$\sf\pink{Let\: the \:smaller \:angle\: be \:x°}$

$\sf\blue{Since \:the\: two \:angles\: differ}$$\sf\blue{ \:by\: 34°, the\: bigger \:angle =>x+34°}$

☞Since the sum of the supplementary angles is 180°

$\sf\orange{We \:have \:x+(x+34)=>180°}$

$\sf\purple{2x+34=>180 °}$

$\sf\purple{2x=>180−34=>146 °}$

$\sf\purple{x= >\frac{146}{2}=>73 °}$

Therefore smaller angle,$\sf\pink{ =>x=>73°}$

Bigger angle, $\sf\pink{→x+34→73+34=>107 °}$

→ALWAYS REMEMBER

→Two angles are called complementary when their measures add to 90 degrees.

→Two angles are called supplementary when their measures add up to 180 degrees.