Question

The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ measure.) If the measure of the third angle of the triangle is 30 ​° more than the measure of either of the other two​ angles, find the measure of each angle of the triangle.​ (Recall that the sum of the measures of the angles of a triangle is​ 180°.)

Answer 1

Answer:

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Step-by-step explanation:

you know that first 2 angle are identical. so let's call them x . the third angle is 20 more than twice the measure of either angles, which means2x+20. The angles of triangle add upto 180°

(x)+(x)+(2x+20)=180

4x + 20 = 180°

4x =160

x=40°

this means the angles measures equal 40°,40°and 100°

HOPE IT HELP

Answer 2

Given: In an isosceles triangle, the measure of the third angle of the triangle is 30 ​° more than the measure of either of the other two​ angles.

To find: The measure of each angle of the triangle.

Solution:

• In an isosceles triangle two of the three angles measure the same.
• Let the two angles be equal to x.
• Since the third angle of the triangle is 30​° more than the measure of either of the other two​ angles, let it be equal to 30 + x.
• All the angles in a triangle add up to give 180°.
• Hence, $x + x + 30 + x = 180$

       $3x + 30 = 180$

       $x = 50$

• So, the two angles measure 50° each and the third angle would be,

       $30 + 50 = 80$.

Therefore, the measure of each angle of the triangle is 50°, 50° and 80°.