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polet [3.4K]
3 years ago
10

Find the value of x in the triangle shown below. X = 80° 7 7 29 9

Mathematics
1 answer:
Vinvika [58]3 years ago
8 0
<h3>Identity to remember . </h3>

<u>☆</u><u> </u><u>We</u><u> </u><u>kno</u><u>w</u><u> </u><u>that</u><u> </u><u>angl</u><u>es</u><u> </u><u>of</u><u> triangle</u><u> </u><u>opposite</u><u> of</u><u> </u><u>its</u><u> </u><u>equa</u><u>l</u><u> </u><u>sides</u><u> </u><u>are</u><u> </u><u>also</u><u> </u><u>eq</u><u>ual</u><u> </u>

Here the information that we know about the given triangle is

  • One Angle is 80°

  • Sides are 7 , 7 and 9

So the angles opposite to the equal sides will be equal .

→ So one of those equal angle is x so other will also be x .

☆ Interior angle sum property states that sum of interior angles of triangle will be 180°

→ 80° + x + x = 180°

→ 2x = 180°-80°

→ 2x = 100°

→ x = 100/2

<u>→</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>5</u><u>0</u><u>°</u><u> </u><u>.</u>

  • <u>So</u><u> </u><u>the</u><u> </u><u>va</u><u>lue</u><u> of</u><u> </u><u>x</u><u> </u><u>is </u><u>5</u><u>0</u><u>°</u><u>. </u><u> </u>

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