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Answer: m∡6 = 33°.
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Since all vertical angles are congruent and have EQUAL measurements,
and ∡5 and ∡6 are vertical angles;
then, m∡5 = m∡6 .
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So; given m∡5 = 33° ; m∡6 = 33° .
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I hope this helps you
7.log2 (x)=15.log2 (2)
log2 (x)^7=log2 (2)^15
x^7=2^15
(x^7)^1/7=(2^15)^1/7
x=2^15/7
Answer:
∠DRM=45°
Step-by-step explanation:
Given: PRST is a parallelogram, m∠T:m∠R=1:3, RD ⊥ PS , RM ⊥ ST.
To find: m∠DRM
Solution: Since, PRST is a parallelogram and then let m∠T=x then m∠R=3x.
From the figure, we get that m∠T+m∠R=180°(Adjacent angles)
x+3x=180°
x=45°
Therefore, m∠T=45° and m∠R=135°.
Also, in parallelogram, opposite angles are equal, therefore m∠R=m∠S=135°.
Now, We know that sum of all the angles of the parallelogram =360°, then
From the quadrilateral DRMS,
∠DRM+∠RMS+∠MSD+∠SDR=360°
∠DRM+90°+135°+90°=360°
∠DRM=360°-315°
∠DRM=45°
I hope you like the answer that i just gave you.