We read your photo as:

Find the value of angle b.

Mathematics

ScanSolve AI Answer

Answer

a=72∘,b=108∘a=72^\circ, b=108^\circ

Step-by-step solution

2 steps
  1. Find the value of angle bb.

    Angle bb is an exterior angle of the triangle. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. The two opposite interior angles are 73∘73^\circ and 35∘35^\circ.

    b=73∘+35∘b = 73^\circ + 35^\circ b=108∘b = 108^\circ
  2. Find the value of angle aa.

    Angle aa and angle bb form a linear pair on a straight line. The sum of angles on a straight line is 180∘180^\circ.

    a+b=180∘a + b = 180^\circ

    Substitute the value of bb found in Step 1:

    a+108∘=180∘a + 108^\circ = 180^\circ a=180∘−108∘a = 180^\circ - 108^\circ a=72∘a = 72^\circ

    The angles are:

    a=72∘,b=108∘a=72^\circ, b=108^\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
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp