Question

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

Answer 1

? = 25°

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°

Answer 2

Given:-

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

Angle 1 = 35°

Angle 2 = 120°

To find:-

Angle 3.

Solution:-

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

Step-by-step explanation:-

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°.}`

To verify:-

∠ 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.}}}}⋆`