An equilateral triangle is constructed on each side of a square. What

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https://gmatclub.com/forum/download/file.php?id=58606 An equilateral triangle is constructed on each side of a square. What is the sum of the measures of the angles marked? A. 400° B. 450° C. 600° D. 750° E. 900° Project PS Butler Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS 2020-10-27_13-58-29.png

giveme12test · Answer

Square: each angle is 90°
Equilateral triangle: each angle is 60°

One marked angle is 360°. Can be breakdown into right angle + 2* angle of equilateral triangle plus the marked angle X.

Thus 360°= 90° + 2*60° + X
X=150°

There are 4 marked angles so 150° * 4 =600

Imo C

kntombat · Answer

Angle of Square= 90°, Angle of equilateral triangle= 60°.
Therefore according to the figure given, marked angle= 360°-(90°+60°)=150°.
There are four marked angles therefore the sum of the measures of the marked angles are 150°*4= 600°.

Which is option C.
OA is option C.

akadiyan · Answer

An equilateral triangle is constructed on each side of a square. What is the sum of the measures of the angles marked?

We know that all sides of an equilateral triangle are equal, so each angle equals  60^{\circ} 
Each angle of a square is  90^{\circ}

There are 4 marked angles in the diagram. Lets evaluate one

Total angle of the marked area =  360^{\circ}

Each marked angle has 2 angles of an equilateral triangle + one angle of a square
 360^{\circ}  =  60^{\circ}  +  60^{\circ}  +  90^{\circ}  + x

X^{\circ}  = 360-210 = 150

Angle of one marked angle is  150^{\circ}

Sum of 4 marked angles is  600^{\circ}

Ans:   C

mdsaddamforgmat · Answer

Correct option C

My Explanation:-
The Sum of angles at a point is 360deg
Each angle of an equilateral triangle is 60deg.
Each angle inside the square is 90 deg
Therefore, as per the figure, one marked angle = 360 – 2(times Equilateral triangle)- one angle of the square
 = 150deg
Therefore, the total sum of Marked angle = no. of marked angle X value of each marked angle
 = 4X150 = 600 deg

ScottTargetTestPrep · Answer

Solution:
 
Since each angle of a square is 90 degrees and each angle of an equilateral triangle is 60 degrees, each marked angle is therefore 360 - 90 - 60 - 60 = 150 degrees. Thus, the sum of the measures of the 4 marked angles is 150 x 4 = 600 degrees.

Answer: C

An equilateral triangle is constructed on each side of a square. What

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An equilateral triangle is constructed on each side of a square. What

Prep Toolkit

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