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astraxan [27]
3 years ago
15

He flag of a country contains an isosceles triangle.​ (recall that an isosceles triangle contains two angles with the same​ meas

ure.) if the measure of the third angle of the triangle is 45​° more than three times nbsp 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°.)
Mathematics
2 answers:
saw5 [17]3 years ago
8 0

Answer:

27,27 and 126

Step-by-step explanation:

Given that the flag of a country contains an isosceles triangle.​

Hence two angles would be congruent.  Let the congruent angle be x

Now since sum of three angles of a triangle is 180, we have angles as

x,x,180-2x

Since third angle is 45 more than three times, we have

third angle = 180-2x

45 more than three times the equal angle = 3x+45

So we have

3x+45=180-2x\\5x=135\\x=27

Third angle = 180-2(27) =126

So angles are 27, 27 and 126

hoa [83]3 years ago
3 0

The angles are 27°, 27° and 126°

let the 2 equal angles be x then the third angle = 3x + 45

sum of 3 angles = x + x + 3x + 45 = 5x + 45 = 180

hence 5x = 180 - 45 = 135⇒ x= 135/5 = 27

the angles are 27°, 27° and 3x + 45 =81 + 45 = 126°


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