Question

Which set of angles can be used to construct a triangle?

A) 51°, 74°, and 59°
B) 52°, 46°, and 82°
C) 54°, 62°, and 58°
D) 58°, 61°, and 57°

Answer 1

Answer:

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#Here's ur answer..☆☆☆

Step-by-step explanation:

$\boxed{ \orange{ \mathfrak{ \huge{answer...}}}}$

$\bold{according \: to ...} \\ \boxed{ \red{ \large{ \: angle \: sum \: property \: of \: triangles}}} \\ \boxed{ \green{ \large{ all \: the \: angles \: add \: upto \: 180...}}}$

$lets \: check \: which \: is \: possible... \\ \red{ \bold{option \: a}} \\ 51 + 74 + 59 =184 \: \\ \red{ \bold{option \: b}} \\ 52 + 46 + 82 = 180 \\ \red{ \bold{option \: c}} \\ 54 + 62 + 58 = 174 \\ \red{ \bold{option \: d}} \\ 58 + 61 + 57 = 176 \\ \\ \bold{ \green{hence \: option \: b \: is \: the \: correct \: answer}}$

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Answer 2

Answer:

B) 52°, 46°, and 82°

Step-by-step explanation:

As per the data given in the question, we have to find that which set of angles is used to construct the triangle.

As we know that, according to

The angle sum property of a triangle, the sum of all the angles adds up to 180 degrees.

For the option (a):

=> $51+74+59=184$

For option (b):

=> $52+46+82=180$

For option (c):

=> $54+62+58=174$

For option (d):

=> $58+61+57=176$

As from the above, we see that:

The angles of option (b) have the sum of $180^o$.

So, option (b) $52^o,46^o$ and $82^o$ angles are used to construct a triangle.