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Can you help me with this problem?

Can you help me with this problem?-example-1
Can you help me with this problem?-example-1
Can you help me with this problem?-example-2
User Envin
by
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1 Answer

5 votes

Answer:

∠Z = 52°

b = 59°

Explanation:

You want to know the measures of an angle and a variable in the given quadrilaterals with angles marked.

Kite

Segment WY divides the figure into two congruent triangles, so you know angles X and Z have the same measure. The sum of angles in a quadrilateral is 360°, so ...

∠W +∠X +∠Y +∠Z = 360°

134° +∠Z +122° +∠Z = 360° . . . . . . use ∠Z for ∠X

2·∠Z = 104° . . . . . . simplify, subtract 256°

∠Z = 52°

Rhombus

Opposite angles of a rhombus are congruent, so ...

2b = b +59°

b = 59° . . . . . . . . . subtract b

User Rik Schaaf
by
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