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16 votes
16 votes
Find each measure plz help

Find each measure plz help-example-1
User Mauro Destro
by
3.0k points

1 Answer

13 votes
13 votes

Answer:

m∠QRS = 52°

Explanation:

From the given figure,

In right triangles ΔRQT and ΔRST,

QT = TS = 7.5 units [Given]

RT ≅ RT [Reflexive property]

ΔRQT ≅ ΔRST [By HL theorem of congruence]

Therefore, m(∠QRT) = m(∠SRT) = 26° [CPCTC]

m(∠QRS) = 2m(∠QRT)

= 2×(26°)

= 52°

User Merhawi Fissehaye
by
3.5k points
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