Find the measure of the angles marked x, y and z. Triangle ABC is an equilateral triangle.
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Find the measure of the angles marked x, y and z. Triangle ABC is an equilateral triangle.
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Answer:
HERE We HAVE 3 TRIANGLES
∆ADB ∆ABC ∆ACE
WE ALSO KNOW THAT ANGLE A,B,C ARE OF 60⁰ BY ANGLE SUM PROPERTY
CONSIDERING ∆ADB WE HAVE ANGLE D AS 40⁰ AND B AS 60⁰ SO ANGLE A = 100⁰
BUT HERE ANGLE A IS NAMED AS X SO X=100⁰
BY THE SAME WAY ANGLE C IS NAMED AS Z SO Z=60⁰ AND Y = 180⁰-90⁰=90⁰
Step-by-step explanation:
ANGLE X = 100⁰
ANGLE Y =90⁰
ANGLE Z =60⁰