Question

What is the value of y? Enter your answer in the box

Answer 1

ANSWER

The value of y is
$5$

EXPLANATION

The given triangle is isosceles.

The base angles are 75° each.

The sum of the interior angles must be 180°

This implies that,

$4y + 10 + 75 + 75 =180 \degree$

We simplify to get,

$4y + 160 = 180$

We group like terms to get,

$4y = 180 - 160$
This will give us,

$4y = 20$

We divide through by 4 to get,

$y = 5$

Answer 2

Answer:

The value of Y is 5.

Step-by-step explanation:

I am assuming you're asking of this particular question?

If so, start out by creating a theory that if both sides of the triangle are marked as "equal" with one mark, then both angles of B and C should be equal as well. So, in other words, 75 = (3x). Or, in more simpler terms, 75 = 75.

With that in mind, we'll now add all angles to equal 180 since this shape is a triangle. 75 + 75 + (4y+10) = 180.

Add similar terms, 150 + (4y+10) = 180.

Subtract 150 from both sides; (4y+10) = 30.

Subtraction Property of Equality (Subtract 10 from both sides); 4y = 20.

Finally, divide both sides by 4. Y = 5.

    I hope this helped~♥