Question

If ∠4 = 98°, then ∠3 = ? look at image

Answer 1

Step-by-step explanation:

∠4 = ∠1 & ∠2 = ∠3

360 - 2(98) = ∠2 + ∠3

∠3 = 164/2

∠3 = 82°

Answer 2

$\huge\bold{Given :}$

Angle 4 = 98°

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

The measure of angle 3.

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

$\implies {\blue {\boxed {\boxed {\purple {\sf {∠\:3\:=\:82° }}}}}}$

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

We know that,

$\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}$

➪ ∠ 3 + ∠ 4 = 180°

➪ ∠ 3 + 98° = 180°

➪ ∠ 3 = 180° - 98°

➪ ∠ 3 = 82°

Therefore, the measure of ∠ 3 is 82°.

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

∠ 3+ ∠ 4 = 180°

✒ 82° + 98° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

$\boxed{Hence\:verified.}$

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