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ss7ja [257]
3 years ago
14

Which is a measure of the missing angle in this triangle?

Mathematics
2 answers:
Taya2010 [7]3 years ago
7 0
<h2><u>Given</u>:-</h2>

Let us assume the three angles to be angle 1, angle 2 and angle 3.

Angle 1 = 35°

Angle 2 = 120°

<h2><u>To</u> <u>find</u>:-</h2>

Angle 3.

<h2><u>Solution</u>:-</h2>

{\boxed{\mathcal{\red{The \:measure\:of\:the\:missing\:angle\:is\:25°. \:✅}}}}

<h2><u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:-</h2>

We know that,

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

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 35° + 120° + ∠ 3 = 180°

➪ 155° + ∠ 3 = 180°

➪ ∠ 3 = 180° - 155°

➪ ∠ 3 = 25°

\sf\red{Therefore, \:the\: measure \:of \:∠\: 3\: is \:25°.}

<h2><u>To</u> <u>verify</u>:-</h2>

∠ 1 + ∠ 2 + ∠ 3 = 180°

✒ 35° + 120° + 25° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\boxed{Hence\:verified.}

\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆

Flura [38]3 years ago
6 0

Answer:

? = 25°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180° for missing angle, that is

? = 180° - (120 + 35)° = 180° - 155° = 25°

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