Question

What is the value of x? x = 55° x = 60° x = 70° x = 110°

Answer 1

Answer:

x = 55°

Step-by-step explanation:

We have an isoceles triangle.

$70 + x + x = 180$

$70 + 2x = 180$

$2x = 110$

$x = 55$

So the base angles of this triangle measure 55 degrees.

Answer 2

Answer:

○ $x$ = 55°

Step-by-step explanation:

As we can see in the diagram, ∠A and ∠C are equal and both have a measure of $x$.

To find the value of $x$, we have to use the triangle sum theorem:

$x$ + $x$ + 70° = 180°         [angles in a triangle add up to 180°]

⇒ 2$x$ + 70° = 180°

⇒ 2$x$ = 180° - 70°         [subtracting 70° from both sides]

⇒ 2$x$ = 110

⇒ $x$ = $\frac{110}{2}$                      [dividing both sides by 2]

⇒ $x$ = 55°