Question

Find the missing angles

Answer 1

`\huge\bold{Given :}`

Angle a = 39°

Angle c = 123°

`\huge\bold{To\:find :}`

The measure of angle b.

`\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}`

∠ b = 18°

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}`

We know that,

`\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}`

➪ ∠ a + ∠ b + ∠ c = 180°

➪ 39° + ∠ b + 123° = 180°

➪ ∠ b + 162° = 180°

➪ ∠ b = 180° - 162°

➪ ∠ b = 18°

Therefore, the measure of ∠ b is 18°.

`\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}`

∠ a + ∠ b + ∠ c = 180°

✒ 39° + 18° + 123° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

`\boxed{Hence\:verified.}`

`\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}`