We read your photo as:

Find the value of x in the given figure, where angles are 25°, 20°, x and 87°.

Mathematics

ScanSolve AI Answer

Answer

48∘48^\circ

Step-by-step solution

3 steps
  1. The sum of the interior angles of a triangle is 180∘180^\circ.

    Label the triangle △ABC\triangle ABC where ∠ABC=25∘\angle ABC = 25^\circ (bottom left) and ∠ACB=87∘\angle ACB = 87^\circ (bottom right).

    ∠BAC=180∘−25∘−87∘\angle BAC = 180^\circ - 25^\circ - 87^\circ ∠BAC=68∘\angle BAC = 68^\circ
  2. A ray from vertex AA divides ∠BAC\angle BAC into two angles

    xx (adjacent to side ABAB) and 20∘20^\circ (adjacent to side ACAC).

    x+20∘=68∘x + 20^\circ = 68^\circ
  3. Solve for xx.

    x=68∘−20∘x = 68^\circ - 20^\circ x=48∘x = 48^\circ

    Final answer: 48∘\boxed{48^\circ}

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

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

Got a different question?Ask your own question