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In a quadrilateral, one angle measures 175.A second angle measures 29, while a third angle measures 54. What is the measure of the remaining angle?

2 Answers

1 vote

Answer:

102

Step-by-step explanation:

If you add all of the angles (175+29+54) it gives you 258. As you may already know, a quadrilateral's angles have to all equal 360 combined. When you subtract 360-258, you get 102. Hope this helped! :)

User Nuvolari
by
7.9k points
7 votes

Given:

In a quadrilatral three angle are


Suppose\text{ }\angle A=175\text{ }\angle B\text{ =29 }\angle C=54

Required:

Remaining angle i.e.


\angle D

Step-by-step explanation:

In a quadrilatral ABCD


\begin{gathered} \angle A+\angle B+\angle C+\angle D=360 \\ 175+29+54+\angle D=360 \\ \angle D=360-258 \\ \angle D=102 \end{gathered}

Final Answer

Remaining Angle= 102

User UpmostScarab
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7.9k points