Question

Find x if both of these angles are isosceles please

Answer 1

• x = 34

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Use triangle sum theorem:

• Sum of interior angles is 180°.

Equation 1:

• m∠A + m∠D + m∠C = 180
• 44 + m∠D + x = 180
• x + m∠D = 136

Equation 2, find m∠D

• m∠D = m∠ADB + m∠BDC

According to property of isosceles triangle, we know that:

• m∠ADB = (180 - 44)/2 = 68

and

• mBDC = x

Substitute these into equation 2:

• m∠D = 68 + x

Substitute this into equation 1 and find the value of x:

• x + 68 + x = 136
• 2x = 68
• x = 34