Find the value of angle b.

Mathematics
Find the value of angle b.

ScanSolve AI Answer

Answer

a=72,b=108a=72^\circ, b=108^\circ

Step 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 7373^\circ and 3535^\circ. b=73+35b = 73^\circ + 35^\circ b=108b = 108^\circ

Step 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 180180^\circ. a+b=180a + b = 180^\circ Substitute the value of bb found in Step 1: a+108=180a + 108^\circ = 180^\circ a=180108a = 180^\circ - 108^\circ a=72a = 72^\circ

The angles are: a=72,b=108a=72^\circ, b=108^\circ That's 2 down. 3 left today — send the next one.

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Quick Answer

Find the value of angle b. Angle b is an exterior angle of the triangle.

Find the value of angle b.
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Find the value of angle b. Angle b 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^ and 35^. b = 73^ + 35^ b = 108^ Step 2: Find the value of angle a. Angle a and angle b form a linear pair on a straight line. The sum of angles on a straight line is 180^. a + b = 180^ Substitute the value of b found in Step 1: a + 108^ = 180^ a = 180^ - 108^ a = 72^ The angles are: a=72^, b=108^ That's 2 down. 3 left today — send the next one.