Question

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Answer 1

C) E = 118°; T = 118°

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The given figure is a kite since it has two pairs of congruent sides as marked.

Its one pair of opposite angles are congruent. That is:

• ∠E ≅ ∠T

Sum of all interior angles of a quadrilateral is 360°:

• m∠W + m∠E + m∠S + m∠T = 360
• 29 + x + 95 + x = 360
• 2x + 124 = 360
• 2x = 360 - 124
• 2x = 236
• x = 118

Both the missing angles are 118°.