What is the measure of 1,2, and 3
2 answers:
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Answer:
Each base angle would be 70°.
Step-by-step explanation:
<em>*</em><em>Base angles means the two equal angles formed on the base are called base angles.</em>
<em> </em><em>B</em><em>ase means the third unequal side of the triangle.</em><em> </em><em>*</em>
Given triangle is isosceles triangle.
The angle of vertex which is given is <u>40°</u>.
Let each base angle be <em>x</em>.
We know that,
<em>There are two base angles in a isosceles triangle</em>.
And, Sum of angles of triangle is 180° .
Therefore,
Now Solve For <em>x</em>. That would be the solution.
Steps:
<u>Combine like terms:</u>
<u>Subtract 40 from both sides:</u>
<u>Simplify </u><u>the</u><u> </u><u>LHS </u><u>and </u><u>RHS</u><u>:</u>
<u>Divide both sides by 2:</u>
<u>Use cancellation method and cancel LHS and RHS:</u>
Hence, each base angle would be 70°.
<u>Verification</u>:
As we know that sum of angles of triangle is 180°.
So,
We got that one base angles of the given isosceles triangle is 70° and other is 70°, and the vertex angle is 40°[Given].
<u>Solve it.</u>
I hope this helps!
Let me know if you have any questions.
