We read your photo as:

What is the value of angle x ?

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps

  1. Identify the type of triangle.

    The tick marks on sides AB and AC indicate that these sides are equal in length. Therefore, △ABC\triangle ABC is an isosceles triangle.

  2. Apply properties of an isosceles triangle.

    In an isosceles triangle, the angles opposite the equal sides are equal. So, ∠B=∠C\angle B = \angle C. Let's denote these angles as xx.

  3. Use the sum of angles in a triangle.

    The sum of interior angles in any triangle is 180∘180^\circ.

    ∠A+∠B+∠C=180∘\angle A + \angle B + \angle C = 180^\circ

    We are given ∠A=76∘\angle A = 76^\circ and we know ∠B=∠C=x\angle B = \angle C = x.

    76∘+x+x=180∘76^\circ + x + x = 180^\circ

  4. Solve for xx.

    76∘+2x=180∘76^\circ + 2x = 180^\circ 2x=180∘−76∘2x = 180^\circ - 76^\circ 2x=104∘2x = 104^\circ x=104∘2x = \frac{104^\circ}{2} x=52∘x = 52^\circ

    The value of angle xx is 52∘52^\circ. This corresponds to option (c).

    The final answer is \boxed{\text{52^\circ}}.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.