Question

The Complement of supplement of 2/3 of x is :
1: x/3-180 degree
2: 2/3x-90 degree
3: 2/3 x + 90 degree
4: x/3+180 degree​

Answer 1

Qᴜᴇsᴛɪᴏɴ :-The Complement of supplement of 2/3 of x is ?

Sᴏʟᴜᴛɪᴏɴ :-

we know that, Supplementary angles are two angles whose sum is 180° while Complementary angles are two angles whose sum is 90°.

→ (Complement of supplement of 2/3 of x)

→ (Complement of supplement of) (2/3 * x)

→ (Complement of supplement of) (2x/3)

→ (Complement of) (supplement of 2x/3)

→ (Complement of) (180° - 2x/3)

→ Complement of (180° - 2x/3)

→ 90° - {(180° - 2x/3)}

→ 90° - 180° + 2x/3

→ (2x/3 - 90)° (Option 2.) (Ans.)