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tekilochka [14]
2 years ago
12

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

Mathematics
2 answers:
Ksju [112]2 years ago
6 0

Step-by-step explanation:

∠4 = ∠1 & ∠2 = ∠3

360 - 2(98) = ∠2 + ∠3

∠3 = 164/2

∠3 = 82°

klio [65]2 years ago
6 0

\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{♨}}}}}

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