2 answers:
Answer:
x = 17
Step-by-step explanation:
Hi there!
Because this is an isosceles triangle, we know that the angles measuring (x+17°) and (4x+34°) are congruent. Knowing this, we can set up the following equation and solve for <em>x</em>:
x+17 = 4x-34
17 = 3x-34
0 = 3x-51
3x = 51
x = 17
Therefore, the value of <em>x</em> is 17.
I hope this helps!
<u>Answer </u>:
x = 17°
<u>Explanation </u>:
A triangle has total 180° interior angle.
When all angle sum up, they equal to 180°
There are two methods for solving this question:
→ x + 17 + 6x + 10 + 4x - 34 = 180°
→ 11x -7 = 180°
→ 11x = 180° + 7°
→ 11x = 187°
→ x = (187/11)°
→ x = 17°
Or
As the triangle is isosceles, the angles are similar:
x + 17° = 4x - 34°
4x - x = 17° + 34°
3x = 51°
x = 17°
[ Hence x is 17° confirmed ]
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