Question

MadondrewADE has a triangle, and (mangle E) is represented as (e). The measure of (mangle ZE) is half the measure of (mangle 2D). The measure of (e) is less than twice (mangle A). What is (mangle ZF)?

a. (e)

b. (2e)

c. (4e)

d. (e/2)

Answer 1

The measure of (mangle ZF) is (mangle A), which is represented as (e).

Step-by-step explanation:

The measure of (mangle ZE) is half the measure of (mangle 2D). The measure of (e) is less than twice (mangle A).

To find the measure of (mangle ZF), we need to determine the relationship between (mangle ZE) and (mangle ZF). Since (mangle ZE) is half the measure of (mangle 2D), we can write it as (mangle ZE) = (1/2)(mangle 2D).

Since (mangle 2D) is twice (mangle A), we can write it as (mangle 2D) = 2(mangle A). Therefore, (mangle ZE) = (1/2)(2(mangle A)) = (mangle A).

So, the measure of (mangle ZF) is (mangle A), which is represented as (e).