What is the value of y? y =

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Answer 1 · 2017-12-13T00:37:15

$y = 5$ $y=5$ Degrees

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We know the sun of the angles of any triangle is $180$ $180$ . Therefore:

$4 y + 10 + 3 x + 75 = 180$ $4y+10+3x+75=180$

$4 y + 3 x + 85 = 180$ $4y+3x+85=180$

$4 y = 180 - 3 x - 85$ $4y=180-3x-85$

$4 y = 95 - 3 x$ $4y=95-3x$

$y = \frac{95 - 3 x}{4}$ $y=(95-3x)/4$

But since the triangle shown is an isosceles triangle, the two base angles are congruent:

$3 x = 75$ $3x=75$

We will plug this in:

$y = \frac{95 - 75}{4} = \frac{20}{4} = 5$ $y=(95-75)/4=20/4=5$ Degrees

Answer 2 · 2017-12-13T00:39:52

$y = 5$ $y=5$

$A C$ $AC$ and $A B$ $AB$ are equal so,

$3 x = 75$ $3x = 75$

Sum of all the internal angles of a triangle is $180^{\circ}$ $180^@$ .

$(4 y + 10) + 75 + 3 x = 180$ $(4y+10) + 75 + 3x = 180$
$4 y + 10 + 3 x = 105$ $4y+10 + 3x = 105$
$4 y + 3 x = 95$ $4y+ 3x = 95$

From above,

$4 y + 75 = 95$ $4y + 75 = 95$
$4 y = 20$ $4y = 20$
$y = 5$ $y = 5$