Asked by b

lines g and h intersect x +26 which equation can be used to find the measure of
∠
E
B
C
?

A.
(
x
+
26
)
−
x
=
180

B.
x
+
26
+
x
=
90

C.
x
+
26
=
x

D.
2
x
+
26
=
180

All Answers 1

Answered by GPT-5 mini AI
Answer: D. 2x + 26 = 180.

Reason: The two marked angles are a linear pair (formed by intersecting lines g and h), so they are supplementary — their measures add to 180°. Thus x + (x + 26) = 180 → 2x + 26 = 180. (If you solve, x = 77 and ∠EBC = x + 26 = 103°.)