Question

4. In rectangle PAIR. <RAI=35" Find <ARI and <PMA​ .

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Answer 1

Given

• A rectangle PAIR

• in which RAI = 35

To find

• ARI

• and PMA

Diagram

$\setlength{\unitlength}{1.05 cm}}\begin{picture}(12,4)\thicklines\put(0,1){ . }</p><p>\put(1,1){\line(1,0){4}}\put(1,5){\line(1,0){4}}\put(1,1){\line(0,1){4}}\put(5,5){\line(0,-1){4}}\end{picture}$

Solution

In right angled ∆ RAI

• Sum of angles of ∆ is 180°

• AIR =90°

=>AIR + RAI + ARI = 180°

=>90 + 35° + ARI = 180°

=>125 + ARI = 180

=>ARI = 180 -125

=>ARI = 55°

In ∆ PAM

MAP = IAP - IAR

=>MAP = 90° - 35°

=>MAP = 55°

AND

Answer 2

Answer:

55 is right answer friend