Question

Find the measure of the angles marked x, y and z. Triangle ABC is an equilateral triangle.​

Answer 1

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