Math, asked by rananya725, 2 months ago

If the triangle is an isosceles triangle and one of its base angle is 55˚, what is the measure of other two angles?

70˚ , 55˚
70˚ , 30˚
65˚ , 60˚
80˚ , 45˚​

Answers

Answered by Sanchaykumar
0

Answer:

Hey mate this is your ans..... 70°,55°

Answered by Ladylaurel
0

Answer :

The measure of other two angles are :- 70°, 55°

[ Option a. 70°, 55° ]

Step-by-step explanation :

To Find,

  • What is the measure of other two angles?

Solution,

Given that,

  • The triangle is an isosceles triangle
  • One of the base angle is 55°

As we know that,

The two base angles of a triangle are equal,

So,

If one base angle is 55°, then the other base angle will also be 55°

∴ The measure of other base angle is 55°.

Now, let's find out the other angle [ vertex ],

Let us assume the vertex angle as x,

As we know that,

Sum of all angles of triangle = 180°.

Base angle + Base angle + Vertex angle = 180°

[ 55° + 55° + x = 180° ]

➞ 55 + 55 + x = 180

➞ 110 + x = 180

➞ x = 180 - 110

➞ x = 70

∴ The measure of other [ vertex angle ] is 70°.

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